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Finding the Fourth Proportional to 269,872.80, 372,438.96 and 149,013.64

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Solution

The fourth proportional to 269,872.80, 372,438.96 and 149,013.64 is: 205,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,872.80 : 372,438.96 = 149,013.64 : x
  2. Step 2: Convert to fraction form
    269,872.80/372,438.96 = 149,013.64/x
  3. Step 3: Cross multiply
    269,872.80x = 372,438.96 × 149,013.64
  4. Step 4: Simplify right side
    269,872.80x = 55,498,485,107.41
  5. Step 5: Solve for x
    x = 55,498,485,107.41/269,872.80
  6. Step 6: Final answer
    x = 205,646.83

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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.