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Finding the Fourth Proportional to 342,432.42, 513,520.92 and 117,729.24

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Solution

The fourth proportional to 342,432.42, 513,520.92 and 117,729.24 is: 176,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,432.42 : 513,520.92 = 117,729.24 : x
  2. Step 2: Convert to fraction form
    342,432.42/513,520.92 = 117,729.24/x
  3. Step 3: Cross multiply
    342,432.42x = 513,520.92 × 117,729.24
  4. Step 4: Simplify right side
    342,432.42x = 60,456,427,635.70
  5. Step 5: Solve for x
    x = 60,456,427,635.70/342,432.42
  6. Step 6: Final answer
    x = 176,549.95

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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.