Finding the Fourth Proportional to 285,735,587,981.76, 394,311,982,204.08 and 157,274,290,077.12
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Solution
The fourth proportional to 285,735,587,981.76, 394,311,982,204.08 and 157,274,290,077.12 is: 217,036,797,929.45
Step by Step Solution
- Step 1: Write the proportion equation
285,735,587,981.76 : 394,311,982,204.08 = 157,274,290,077.12 : x - Step 2: Convert to fraction form
285,735,587,981.76/394,311,982,204.08 = 157,274,290,077.12/x - Step 3: Cross multiply
285,735,587,981.76x = 394,311,982,204.08 × 157,274,290,077.12 - Step 4: Simplify right side
285,735,587,981.76x = 62,015,137,070,048,654,393,344 - Step 5: Solve for x
x = 62,015,137,070,048,654,393,344/285,735,587,981.76 - Step 6: Final answer
x = 217,036,797,929.45
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.