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Finding the Fourth Proportional to 381,423.32, 572,005.38 and 132,047

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Solution

The fourth proportional to 381,423.32, 572,005.38 and 132,047 is: 198,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,423.32 : 572,005.38 = 132,047 : x
  2. Step 2: Convert to fraction form
    381,423.32/572,005.38 = 132,047/x
  3. Step 3: Cross multiply
    381,423.32x = 572,005.38 × 132,047
  4. Step 4: Simplify right side
    381,423.32x = 75,531,594,412.86
  5. Step 5: Solve for x
    x = 75,531,594,412.86/381,423.32
  6. Step 6: Final answer
    x = 198,025.63

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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.