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Finding the Fourth Proportional to 269,404.90, 404,092.70 and 82,416.40

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Solution

The fourth proportional to 269,404.90, 404,092.70 and 82,416.40 is: 123,620.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,404.90 : 404,092.70 = 82,416.40 : x
  2. Step 2: Convert to fraction form
    269,404.90/404,092.70 = 82,416.40/x
  3. Step 3: Cross multiply
    269,404.90x = 404,092.70 × 82,416.40
  4. Step 4: Simplify right side
    269,404.90x = 33,303,865,600.28
  5. Step 5: Solve for x
    x = 33,303,865,600.28/269,404.90
  6. Step 6: Final answer
    x = 123,620.12

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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.