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Finding the Fourth Proportional to 206,747.47, 309,830.31 and 164,439.78

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Solution

The fourth proportional to 206,747.47, 309,830.31 and 164,439.78 is: 246,428.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,747.47 : 309,830.31 = 164,439.78 : x
  2. Step 2: Convert to fraction form
    206,747.47/309,830.31 = 164,439.78/x
  3. Step 3: Cross multiply
    206,747.47x = 309,830.31 × 164,439.78
  4. Step 4: Simplify right side
    206,747.47x = 50,948,425,642.38
  5. Step 5: Solve for x
    x = 50,948,425,642.38/206,747.47
  6. Step 6: Final answer
    x = 246,428.30

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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.