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Finding the Fourth Proportional to 978,755,414.78, 1,350,688,089.60 and 532,717,714.31

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Solution

The fourth proportional to 978,755,414.78, 1,350,688,089.60 and 532,717,714.31 is: 735,153,503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,755,414.78 : 1,350,688,089.60 = 532,717,714.31 : x
  2. Step 2: Convert to fraction form
    978,755,414.78/1,350,688,089.60 = 532,717,714.31/x
  3. Step 3: Cross multiply
    978,755,414.78x = 1,350,688,089.60 × 532,717,714.31
  4. Step 4: Simplify right side
    978,755,414.78x = 719,535,471,830,699,008
  5. Step 5: Solve for x
    x = 719,535,471,830,699,008/978,755,414.78
  6. Step 6: Final answer
    x = 735,153,503.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.