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Finding the Fourth Proportional to 457,691.60, 686,537.40 and 142,245.20

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Solution

The fourth proportional to 457,691.60, 686,537.40 and 142,245.20 is: 213,367.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,691.60 : 686,537.40 = 142,245.20 : x
  2. Step 2: Convert to fraction form
    457,691.60/686,537.40 = 142,245.20/x
  3. Step 3: Cross multiply
    457,691.60x = 686,537.40 × 142,245.20
  4. Step 4: Simplify right side
    457,691.60x = 97,656,649,770.48
  5. Step 5: Solve for x
    x = 97,656,649,770.48/457,691.60
  6. Step 6: Final answer
    x = 213,367.80

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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.