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Finding the Fourth Proportional to 269,506.60, 404,279.10 and 82,517.80

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Solution

The fourth proportional to 269,506.60, 404,279.10 and 82,517.80 is: 123,782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,506.60 : 404,279.10 = 82,517.80 : x
  2. Step 2: Convert to fraction form
    269,506.60/404,279.10 = 82,517.80/x
  3. Step 3: Cross multiply
    269,506.60x = 404,279.10 × 82,517.80
  4. Step 4: Simplify right side
    269,506.60x = 33,360,221,917.98
  5. Step 5: Solve for x
    x = 33,360,221,917.98/269,506.60
  6. Step 6: Final answer
    x = 123,782.58

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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.