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Finding the Fourth Proportional to 327,199.20, 490,215.60 and 267,712.80

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Solution

The fourth proportional to 327,199.20, 490,215.60 and 267,712.80 is: 401,092.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,199.20 : 490,215.60 = 267,712.80 : x
  2. Step 2: Convert to fraction form
    327,199.20/490,215.60 = 267,712.80/x
  3. Step 3: Cross multiply
    327,199.20x = 490,215.60 × 267,712.80
  4. Step 4: Simplify right side
    327,199.20x = 131,236,990,879.68
  5. Step 5: Solve for x
    x = 131,236,990,879.68/327,199.20
  6. Step 6: Final answer
    x = 401,092.03

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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.