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Finding the Fourth Proportional to 327,400.80, 491,101.20 and 274,869.60

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Solution

The fourth proportional to 327,400.80, 491,101.20 and 274,869.60 is: 412,304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,400.80 : 491,101.20 = 274,869.60 : x
  2. Step 2: Convert to fraction form
    327,400.80/491,101.20 = 274,869.60/x
  3. Step 3: Cross multiply
    327,400.80x = 491,101.20 × 274,869.60
  4. Step 4: Simplify right side
    327,400.80x = 134,988,790,403.52
  5. Step 5: Solve for x
    x = 134,988,790,403.52/327,400.80
  6. Step 6: Final answer
    x = 412,304.40

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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.