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Finding the Fourth Proportional to 206,678.79, 309,753.92 and 179,915.38

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Solution

The fourth proportional to 206,678.79, 309,753.92 and 179,915.38 is: 269,643.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,678.79 : 309,753.92 = 179,915.38 : x
  2. Step 2: Convert to fraction form
    206,678.79/309,753.92 = 179,915.38/x
  3. Step 3: Cross multiply
    206,678.79x = 309,753.92 × 179,915.38
  4. Step 4: Simplify right side
    206,678.79x = 55,729,493,898.69
  5. Step 5: Solve for x
    x = 55,729,493,898.69/206,678.79
  6. Step 6: Final answer
    x = 269,643.02

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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.