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Finding the Fourth Proportional to 381,422.32, 572,003.88 and 132,046

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Solution

The fourth proportional to 381,422.32, 572,003.88 and 132,046 is: 198,024.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,422.32 : 572,003.88 = 132,046 : x
  2. Step 2: Convert to fraction form
    381,422.32/572,003.88 = 132,046/x
  3. Step 3: Cross multiply
    381,422.32x = 572,003.88 × 132,046
  4. Step 4: Simplify right side
    381,422.32x = 75,530,824,338.48
  5. Step 5: Solve for x
    x = 75,530,824,338.48/381,422.32
  6. Step 6: Final answer
    x = 198,024.13

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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.