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Finding the Fourth Proportional to 381,489, 572,335.56 and 132,171

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Solution

The fourth proportional to 381,489, 572,335.56 and 132,171 is: 198,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,489 : 572,335.56 = 132,171 : x
  2. Step 2: Convert to fraction form
    381,489/572,335.56 = 132,171/x
  3. Step 3: Cross multiply
    381,489x = 572,335.56 × 132,171
  4. Step 4: Simplify right side
    381,489x = 75,646,163,300.76
  5. Step 5: Solve for x
    x = 75,646,163,300.76/381,489
  6. Step 6: Final answer
    x = 198,291.86

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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.