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Finding the Fourth Proportional to 269,046.72, 402,930.72 and 135,506.88

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Solution

The fourth proportional to 269,046.72, 402,930.72 and 135,506.88 is: 202,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,046.72 : 402,930.72 = 135,506.88 : x
  2. Step 2: Convert to fraction form
    269,046.72/402,930.72 = 135,506.88/x
  3. Step 3: Cross multiply
    269,046.72x = 402,930.72 × 135,506.88
  4. Step 4: Simplify right side
    269,046.72x = 54,599,884,723.35
  5. Step 5: Solve for x
    x = 54,599,884,723.35/269,046.72
  6. Step 6: Final answer
    x = 202,938.30

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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.