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Finding the Fourth Proportional to 327,421.47, 451,801.22 and 206,517.09

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Solution

The fourth proportional to 327,421.47, 451,801.22 and 206,517.09 is: 284,968.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,421.47 : 451,801.22 = 206,517.09 : x
  2. Step 2: Convert to fraction form
    327,421.47/451,801.22 = 206,517.09/x
  3. Step 3: Cross multiply
    327,421.47x = 451,801.22 × 206,517.09
  4. Step 4: Simplify right side
    327,421.47x = 93,304,672,180.26
  5. Step 5: Solve for x
    x = 93,304,672,180.26/327,421.47
  6. Step 6: Final answer
    x = 284,968.09

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1.5x scale

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.