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Finding the Fourth Proportional to 269,538.70, 404,308.05 and 80,005.90

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Solution

The fourth proportional to 269,538.70, 404,308.05 and 80,005.90 is: 120,008.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,538.70 : 404,308.05 = 80,005.90 : x
  2. Step 2: Convert to fraction form
    269,538.70/404,308.05 = 80,005.90/x
  3. Step 3: Cross multiply
    269,538.70x = 404,308.05 × 80,005.90
  4. Step 4: Simplify right side
    269,538.70x = 32,347,029,417.50
  5. Step 5: Solve for x
    x = 32,347,029,417.50/269,538.70
  6. Step 6: Final answer
    x = 120,008.85

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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.