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Finding the Fourth Proportional to 381,645.60, 572,730.75 and 132,327.60

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Solution

The fourth proportional to 381,645.60, 572,730.75 and 132,327.60 is: 198,582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,645.60 : 572,730.75 = 132,327.60 : x
  2. Step 2: Convert to fraction form
    381,645.60/572,730.75 = 132,327.60/x
  3. Step 3: Cross multiply
    381,645.60x = 572,730.75 × 132,327.60
  4. Step 4: Simplify right side
    381,645.60x = 75,788,085,593.70
  5. Step 5: Solve for x
    x = 75,788,085,593.70/381,645.60
  6. Step 6: Final answer
    x = 198,582.36

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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.