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Finding the Fourth Proportional to 327,422.90, 490,150.20 and 194,234.60

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Solution

The fourth proportional to 327,422.90, 490,150.20 and 194,234.60 is: 290,768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,422.90 : 490,150.20 = 194,234.60 : x
  2. Step 2: Convert to fraction form
    327,422.90/490,150.20 = 194,234.60/x
  3. Step 3: Cross multiply
    327,422.90x = 490,150.20 × 194,234.60
  4. Step 4: Simplify right side
    327,422.90x = 95,204,128,036.92
  5. Step 5: Solve for x
    x = 95,204,128,036.92/327,422.90
  6. Step 6: Final answer
    x = 290,768.08

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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.