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Finding the Fourth Proportional to 269,427, 404,156.70 and 82,440.12

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Solution

The fourth proportional to 269,427, 404,156.70 and 82,440.12 is: 123,665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,427 : 404,156.70 = 82,440.12 : x
  2. Step 2: Convert to fraction form
    269,427/404,156.70 = 82,440.12/x
  3. Step 3: Cross multiply
    269,427x = 404,156.70 × 82,440.12
  4. Step 4: Simplify right side
    269,427x = 33,318,726,846.80
  5. Step 5: Solve for x
    x = 33,318,726,846.80/269,427
  6. Step 6: Final answer
    x = 123,665.14

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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.