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Finding the Fourth Proportional to 206,406.14, 284,851.98 and 155,327

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Solution

The fourth proportional to 206,406.14, 284,851.98 and 155,327 is: 214,359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,406.14 : 284,851.98 = 155,327 : x
  2. Step 2: Convert to fraction form
    206,406.14/284,851.98 = 155,327/x
  3. Step 3: Cross multiply
    206,406.14x = 284,851.98 × 155,327
  4. Step 4: Simplify right side
    206,406.14x = 44,245,203,497.46
  5. Step 5: Solve for x
    x = 44,245,203,497.46/206,406.14
  6. Step 6: Final answer
    x = 214,359.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.