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Finding the Fourth Proportional to 269,821.79, 404,662.21 and 80,231.11

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Solution

The fourth proportional to 269,821.79, 404,662.21 and 80,231.11 is: 120,325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,821.79 : 404,662.21 = 80,231.11 : x
  2. Step 2: Convert to fraction form
    269,821.79/404,662.21 = 80,231.11/x
  3. Step 3: Cross multiply
    269,821.79x = 404,662.21 × 80,231.11
  4. Step 4: Simplify right side
    269,821.79x = 32,466,498,283.35
  5. Step 5: Solve for x
    x = 32,466,498,283.35/269,821.79
  6. Step 6: Final answer
    x = 120,325.71

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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.