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Finding the Fourth Proportional to 269,822.26, 404,696.53 and 80,311.88

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Solution

The fourth proportional to 269,822.26, 404,696.53 and 80,311.88 is: 120,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,822.26 : 404,696.53 = 80,311.88 : x
  2. Step 2: Convert to fraction form
    269,822.26/404,696.53 = 80,311.88/x
  3. Step 3: Cross multiply
    269,822.26x = 404,696.53 × 80,311.88
  4. Step 4: Simplify right side
    269,822.26x = 32,501,938,901.82
  5. Step 5: Solve for x
    x = 32,501,938,901.82/269,822.26
  6. Step 6: Final answer
    x = 120,456.85

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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.