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Finding the Fourth Proportional to 257,005.60, 385,335.60 and 137,082.40

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Solution

The fourth proportional to 257,005.60, 385,335.60 and 137,082.40 is: 205,531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,005.60 : 385,335.60 = 137,082.40 : x
  2. Step 2: Convert to fraction form
    257,005.60/385,335.60 = 137,082.40/x
  3. Step 3: Cross multiply
    257,005.60x = 385,335.60 × 137,082.40
  4. Step 4: Simplify right side
    257,005.60x = 52,822,728,853.44
  5. Step 5: Solve for x
    x = 52,822,728,853.44/257,005.60
  6. Step 6: Final answer
    x = 205,531.43

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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.