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Finding the Fourth Proportional to 327,614, 491,192.96 and 145,145.76

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Solution

The fourth proportional to 327,614, 491,192.96 and 145,145.76 is: 217,617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,614 : 491,192.96 = 145,145.76 : x
  2. Step 2: Convert to fraction form
    327,614/491,192.96 = 145,145.76/x
  3. Step 3: Cross multiply
    327,614x = 491,192.96 × 145,145.76
  4. Step 4: Simplify right side
    327,614x = 71,294,575,485.85
  5. Step 5: Solve for x
    x = 71,294,575,485.85/327,614
  6. Step 6: Final answer
    x = 217,617.61

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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.