Final answer:
Bob's share of the profit is $450, calculated by first determining the value of one part of the ratio from Bill's share and then multiplying that value by Bob's ratio number.
Step-by-step explanation:
In the given scenario, where Bill's portion of the profit is $300 and the profit ratio among Bess, Bill, and Bob is 1:2:3, it allows for the determination of each individual's share based on their respective ratios. The profit ratio signifies the proportional distribution of the total profit among the three individuals.
The ratio specifies that Bill's share is twice that of Bess and half of Bob's. To ascertain what one part of the ratio represents, Bill's share of $300 is divided by 2, yielding $150, which is Bess's share. This establishes the value of one part of the ratio.
Furthermore, since Bob's share is three times that of Bess, we multiply Bess's share of $150 by 3 to calculate Bob's share. Therefore, Bob's share amounts to $150 multiplied by 3, resulting in $450.
In summary, the profit distribution among Bess, Bill, and Bob is delineated by their respective shares in the ratio 1:2:3. Bill's share is $300, Bess's share is $150, and Bob's share is $450. This proportionate allocation aligns with the specified ratios and illustrates the equitable distribution of profits among the three individuals based on their predetermined ratios.