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Finding the Fourth Proportional to 269,820.29, 404,659.90 and 80,229.59

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Solution

The fourth proportional to 269,820.29, 404,659.90 and 80,229.59 is: 120,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,820.29 : 404,659.90 = 80,229.59 : x
  2. Step 2: Convert to fraction form
    269,820.29/404,659.90 = 80,229.59/x
  3. Step 3: Cross multiply
    269,820.29x = 404,659.90 × 80,229.59
  4. Step 4: Simplify right side
    269,820.29x = 32,465,697,866.44
  5. Step 5: Solve for x
    x = 32,465,697,866.44/269,820.29
  6. Step 6: Final answer
    x = 120,323.41

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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.