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Finding the Fourth Proportional to 431,672.70, 647,557.65 and 132,150.90

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Solution

The fourth proportional to 431,672.70, 647,557.65 and 132,150.90 is: 198,241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,672.70 : 647,557.65 = 132,150.90 : x
  2. Step 2: Convert to fraction form
    431,672.70/647,557.65 = 132,150.90/x
  3. Step 3: Cross multiply
    431,672.70x = 647,557.65 × 132,150.90
  4. Step 4: Simplify right side
    431,672.70x = 85,575,326,249.39
  5. Step 5: Solve for x
    x = 85,575,326,249.39/431,672.70
  6. Step 6: Final answer
    x = 198,241.23

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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.