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Finding the Fourth Proportional to 257,079.60, 385,446.60 and 137,156.40

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Solution

The fourth proportional to 257,079.60, 385,446.60 and 137,156.40 is: 205,642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,079.60 : 385,446.60 = 137,156.40 : x
  2. Step 2: Convert to fraction form
    257,079.60/385,446.60 = 137,156.40/x
  3. Step 3: Cross multiply
    257,079.60x = 385,446.60 × 137,156.40
  4. Step 4: Simplify right side
    257,079.60x = 52,866,468,048.24
  5. Step 5: Solve for x
    x = 52,866,468,048.24/257,079.60
  6. Step 6: Final answer
    x = 205,642.41

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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.