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Finding the Fourth Proportional to 327,060.80, 490,591.20 and 102,438.80

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Solution

The fourth proportional to 327,060.80, 490,591.20 and 102,438.80 is: 153,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,060.80 : 490,591.20 = 102,438.80 : x
  2. Step 2: Convert to fraction form
    327,060.80/490,591.20 = 102,438.80/x
  3. Step 3: Cross multiply
    327,060.80x = 490,591.20 × 102,438.80
  4. Step 4: Simplify right side
    327,060.80x = 50,255,573,818.56
  5. Step 5: Solve for x
    x = 50,255,573,818.56/327,060.80
  6. Step 6: Final answer
    x = 153,658.20

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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.