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Finding the Fourth Proportional to 269,239.30, 403,855.35 and 82,251.70

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Solution

The fourth proportional to 269,239.30, 403,855.35 and 82,251.70 is: 123,376.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,239.30 : 403,855.35 = 82,251.70 : x
  2. Step 2: Convert to fraction form
    269,239.30/403,855.35 = 82,251.70/x
  3. Step 3: Cross multiply
    269,239.30x = 403,855.35 × 82,251.70
  4. Step 4: Simplify right side
    269,239.30x = 33,217,789,091.60
  5. Step 5: Solve for x
    x = 33,217,789,091.60/269,239.30
  6. Step 6: Final answer
    x = 123,376.45

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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.