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Finding the Fourth Proportional to 378,020.40, 566,833.70 and 178,287.17

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Solution

The fourth proportional to 378,020.40, 566,833.70 and 178,287.17 is: 267,337.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,020.40 : 566,833.70 = 178,287.17 : x
  2. Step 2: Convert to fraction form
    378,020.40/566,833.70 = 178,287.17/x
  3. Step 3: Cross multiply
    378,020.40x = 566,833.70 × 178,287.17
  4. Step 4: Simplify right side
    378,020.40x = 101,059,172,508.03
  5. Step 5: Solve for x
    x = 101,059,172,508.03/378,020.40
  6. Step 6: Final answer
    x = 267,337.88

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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.