Nutrient ratios (N:P) can only be measured roughly at home, even with the ULR/LR Hanna Checkers. At mid-range levels you get a ballpark figure (roughly ±20%), but at low levels the error becomes huge. This can even be
proven mathematically.
I'm not sure this is getting any better when trying to relate nutrients to alkalinity. Let's say your tank has an alkalinity of 8dKH (142.8ppm CaCO₃). The "true ratio" columns show the ratio for the actual nitrate level. The "possible reading" column shows what the ratio could come out as, given the LR nitrate checker's accuracy of ±0.25ppm ±2% of reading:
| True NO₃ (ppm) | True molar ratio CaCO₃ : NO₃ | Possible reading (molar) | True mass ratio CaCO₃ : NO₃ |
| 1 | 88.5 : 1 | 69 - 120 : 1 | 142.8 : 1 |
| 2 | 44.2 : 1 | 38.5 - 51.6 : 1 | 71.4 : 1 |
| 3 | 29.5 : 1 | 26.7 - 32.8 : 1 | 47.6 : 1 |
| 4 | 22.1 : 1 | 20.4 - 24.1 : 1 | 35.7 : 1 |
| 5 | 17.7 : 1 | 16.5 - 19.0 : 1 | 28.6 : 1 |
The lower the nutrient level, the worse the relative error gets, because the fixed part of the error (±0.25ppm here) stays the same while the value shrinks. For phosphate it becomes even worse (ULR checker: ±0.02ppm ±5% of reading):
| True PO₄ (ppm) | True molar ratio CaCO₃ : PO₄ | Possible reading (molar) | True mass ratio CaCO₃ : PO₄ |
| 0.01 | 13550 : 1 | 4291 : 1 - ∞ | 14280 : 1 |
| 0.02 | 6775 : 1 | 3218 : 1 - ∞ | 7140 : 1 |
| 0.03 | 4517 : 1 | 2575 - 14228 : 1 | 4760 : 1 |
| 0.04 | 3388 : 1 | 2145 - 7114 : 1 | 3570 : 1 |
| 0.05 | 2710 : 1 | 1839 - 4743 : 1 | 2856 : 1 |
| 0.06 | 2258 : 1 | 1609 - 3557 : 1 | 2380 : 1 |
| 0.07 | 1936 : 1 | 1430 - 2846 : 1 | 2040 : 1 |
| 0.08 | 1694 : 1 | 1287 - 2371 : 1 | 1785 : 1 |
| 0.09 | 1506 : 1 | 1170 - 2033 : 1 | 1587 : 1 |
At 0.02ppm or below the checker can read 0.00, so the ratio has no upper limit at all

These ranges are worst cases from the manufacturer's specs only. They don't include the error of your alkalinity test. Also note the molar ratio counts CaCO₃ molecules; if you think in meq/L alkalinity, the numbers double.
I personally think ratios are very interesting, but we have to come to terms with the very limited accuracy of our tests.