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Finding the Fourth Proportional to 268,877.20, 403,218.60 and 135,713.20

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Solution

The fourth proportional to 268,877.20, 403,218.60 and 135,713.20 is: 203,520.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,877.20 : 403,218.60 = 135,713.20 : x
  2. Step 2: Convert to fraction form
    268,877.20/403,218.60 = 135,713.20/x
  3. Step 3: Cross multiply
    268,877.20x = 403,218.60 × 135,713.20
  4. Step 4: Simplify right side
    268,877.20x = 54,722,086,505.52
  5. Step 5: Solve for x
    x = 54,722,086,505.52/268,877.20
  6. Step 6: Final answer
    x = 203,520.74

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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.