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Finding the Fourth Proportional to 408,808.38, 564,146.73 and 227,519.58

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Solution

The fourth proportional to 408,808.38, 564,146.73 and 227,519.58 is: 313,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,808.38 : 564,146.73 = 227,519.58 : x
  2. Step 2: Convert to fraction form
    408,808.38/564,146.73 = 227,519.58/x
  3. Step 3: Cross multiply
    408,808.38x = 564,146.73 × 227,519.58
  4. Step 4: Simplify right side
    408,808.38x = 128,354,427,067.97
  5. Step 5: Solve for x
    x = 128,354,427,067.97/408,808.38
  6. Step 6: Final answer
    x = 313,972.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.