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Finding the Fourth Proportional to 381,654.50, 572,744.19 and 132,336.50

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Solution

The fourth proportional to 381,654.50, 572,744.19 and 132,336.50 is: 198,595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,654.50 : 572,744.19 = 132,336.50 : x
  2. Step 2: Convert to fraction form
    381,654.50/572,744.19 = 132,336.50/x
  3. Step 3: Cross multiply
    381,654.50x = 572,744.19 × 132,336.50
  4. Step 4: Simplify right side
    381,654.50x = 75,794,961,499.94
  5. Step 5: Solve for x
    x = 75,794,961,499.94/381,654.50
  6. Step 6: Final answer
    x = 198,595.75

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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.