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Finding the Fourth Proportional to 381,689.60, 572,796.76 and 132,371.60

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Solution

The fourth proportional to 381,689.60, 572,796.76 and 132,371.60 is: 198,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,689.60 : 572,796.76 = 132,371.60 : x
  2. Step 2: Convert to fraction form
    381,689.60/572,796.76 = 132,371.60/x
  3. Step 3: Cross multiply
    381,689.60x = 572,796.76 × 132,371.60
  4. Step 4: Simplify right side
    381,689.60x = 75,822,023,596.02
  5. Step 5: Solve for x
    x = 75,822,023,596.02/381,689.60
  6. Step 6: Final answer
    x = 198,648.39

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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.