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Finding the Fourth Proportional to 269,719.80, 404,633.70 and 80,179.80

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Solution

The fourth proportional to 269,719.80, 404,633.70 and 80,179.80 is: 120,285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,719.80 : 404,633.70 = 80,179.80 : x
  2. Step 2: Convert to fraction form
    269,719.80/404,633.70 = 80,179.80/x
  3. Step 3: Cross multiply
    269,719.80x = 404,633.70 × 80,179.80
  4. Step 4: Simplify right side
    269,719.80x = 32,443,449,139.26
  5. Step 5: Solve for x
    x = 32,443,449,139.26/269,719.80
  6. Step 6: Final answer
    x = 120,285.75

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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.