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From the information you have given it appears that you will have 25 units vest on each of the following dates:
7/30/16; 7/30/17; 7/30/18; and 7/30/19
It appears that your profits interest are based on increases in the future equity value of the firm resulting from appreciation above a threshold amount of $300,000,000.
It appears to say that you get 25% of the increase in equity above the threshold amount based on a pro-rata percentage of how many shares you have vested.
So if as of 7/30/16 the firm's equity increased say $100,000.00 and there are a total of 200 units vested, you would get 1/8th of $25,000.00
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