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Finding the Fourth Proportional to 252,654.72, 378,780.84 and 145,917.60

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Solution

The fourth proportional to 252,654.72, 378,780.84 and 145,917.60 is: 218,760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,654.72 : 378,780.84 = 145,917.60 : x
  2. Step 2: Convert to fraction form
    252,654.72/378,780.84 = 145,917.60/x
  3. Step 3: Cross multiply
    252,654.72x = 378,780.84 × 145,917.60
  4. Step 4: Simplify right side
    252,654.72x = 55,270,791,098.78
  5. Step 5: Solve for x
    x = 55,270,791,098.78/252,654.72
  6. Step 6: Final answer
    x = 218,760.18

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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.