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Finding the Fourth Proportional to 515,729.72, 773,419.38 and 178,691.70

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Solution

The fourth proportional to 515,729.72, 773,419.38 and 178,691.70 is: 267,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,729.72 : 773,419.38 = 178,691.70 : x
  2. Step 2: Convert to fraction form
    515,729.72/773,419.38 = 178,691.70/x
  3. Step 3: Cross multiply
    515,729.72x = 773,419.38 × 178,691.70
  4. Step 4: Simplify right side
    515,729.72x = 138,203,623,825.15
  5. Step 5: Solve for x
    x = 138,203,623,825.15/515,729.72
  6. Step 6: Final answer
    x = 267,976.85

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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.