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Finding the Fourth Proportional to 257,125.32, 385,540.29 and 137,034.42

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Solution

The fourth proportional to 257,125.32, 385,540.29 and 137,034.42 is: 205,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,125.32 : 385,540.29 = 137,034.42 : x
  2. Step 2: Convert to fraction form
    257,125.32/385,540.29 = 137,034.42/x
  3. Step 3: Cross multiply
    257,125.32x = 385,540.29 × 137,034.42
  4. Step 4: Simplify right side
    257,125.32x = 52,832,290,026.78
  5. Step 5: Solve for x
    x = 52,832,290,026.78/257,125.32
  6. Step 6: Final answer
    x = 205,472.92

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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.