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Finding the Fourth Proportional to 487,714.46, 731,641.65 and 150,781.42

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Solution

The fourth proportional to 487,714.46, 731,641.65 and 150,781.42 is: 226,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,714.46 : 731,641.65 = 150,781.42 : x
  2. Step 2: Convert to fraction form
    487,714.46/731,641.65 = 150,781.42/x
  3. Step 3: Cross multiply
    487,714.46x = 731,641.65 × 150,781.42
  4. Step 4: Simplify right side
    487,714.46x = 110,317,966,918.14
  5. Step 5: Solve for x
    x = 110,317,966,918.14/487,714.46
  6. Step 6: Final answer
    x = 226,193.76

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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.