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Finding the Fourth Proportional to 431,557.80, 647,414.48 and 132,032.76

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Solution

The fourth proportional to 431,557.80, 647,414.48 and 132,032.76 is: 198,072.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,557.80 : 647,414.48 = 132,032.76 : x
  2. Step 2: Convert to fraction form
    431,557.80/647,414.48 = 132,032.76/x
  3. Step 3: Cross multiply
    431,557.80x = 647,414.48 × 132,032.76
  4. Step 4: Simplify right side
    431,557.80x = 85,479,920,658.36
  5. Step 5: Solve for x
    x = 85,479,920,658.36/431,557.80
  6. Step 6: Final answer
    x = 198,072.94

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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.