Finding the Fourth Proportional to 861,613,535,981.44, 1,292,420,304,061.60 and 287,929,648,965.62
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Solution
The fourth proportional to 861,613,535,981.44, 1,292,420,304,061.60 and 287,929,648,965.62 is: 431,894,473,478.32
Step by Step Solution
- Step 1: Write the proportion equation
861,613,535,981.44 : 1,292,420,304,061.60 = 287,929,648,965.62 : x - Step 2: Convert to fraction form
861,613,535,981.44/1,292,420,304,061.60 = 287,929,648,965.62/x - Step 3: Cross multiply
861,613,535,981.44x = 1,292,420,304,061.60 × 287,929,648,965.62 - Step 4: Simplify right side
861,613,535,981.44x = 372,126,124,464,496,353,214,464 - Step 5: Solve for x
x = 372,126,124,464,496,353,214,464/861,613,535,981.44 - Step 6: Final answer
x = 431,894,473,478.32
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.