Aril and Dita are wealthy Norwegian business owners who make monthly donations to international disaster relief. Aril donated 150150150 Norwegian kroners (\text{kr})(kr)left parenthesis, start text, k, r, end text, right parenthesis the first month, and the cumulative number of Norwegian kroners she has donated increases by a factor of 2.52.52, point, 5 each month.
Dita donated 300\,\text{kr}300kr300, start text, k, r, end text the first month, and the cumulative number of Norwegian kroners she has donated increases by 400\,\text{kr}400kr400, start text, k, r, end text each month.
They started making donations at the same time, and they both make their monthly donations at the beginning of each month.
What is the first month in which Aril's cumulative donation exceeds Dita's cumulative donation?