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Finding the Fourth Proportional to 257,540.20, 386,310.30 and 115,385.20

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Solution

The fourth proportional to 257,540.20, 386,310.30 and 115,385.20 is: 173,077.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,540.20 : 386,310.30 = 115,385.20 : x
  2. Step 2: Convert to fraction form
    257,540.20/386,310.30 = 115,385.20/x
  3. Step 3: Cross multiply
    257,540.20x = 386,310.30 × 115,385.20
  4. Step 4: Simplify right side
    257,540.20x = 44,574,491,227.56
  5. Step 5: Solve for x
    x = 44,574,491,227.56/257,540.20
  6. Step 6: Final answer
    x = 173,077.80

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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.