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Finding the Fourth Proportional to 381,503.52, 572,255.55 and 132,185.52

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Solution

The fourth proportional to 381,503.52, 572,255.55 and 132,185.52 is: 198,278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,503.52 : 572,255.55 = 132,185.52 : x
  2. Step 2: Convert to fraction form
    381,503.52/572,255.55 = 132,185.52/x
  3. Step 3: Cross multiply
    381,503.52x = 572,255.55 × 132,185.52
  4. Step 4: Simplify right side
    381,503.52x = 75,643,897,449.64
  5. Step 5: Solve for x
    x = 75,643,897,449.64/381,503.52
  6. Step 6: Final answer
    x = 198,278.37

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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.