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Finding the Fourth Proportional to 327,413.64, 490,909.86 and 137,996.76

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Solution

The fourth proportional to 327,413.64, 490,909.86 and 137,996.76 is: 206,906.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,413.64 : 490,909.86 = 137,996.76 : x
  2. Step 2: Convert to fraction form
    327,413.64/490,909.86 = 137,996.76/x
  3. Step 3: Cross multiply
    327,413.64x = 490,909.86 × 137,996.76
  4. Step 4: Simplify right side
    327,413.64x = 67,743,970,132.05
  5. Step 5: Solve for x
    x = 67,743,970,132.05/327,413.64
  6. Step 6: Final answer
    x = 206,906.38

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1.5x scale

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.