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Finding the Fourth Proportional to 327,703.12, 491,745.67 and 138,151.85

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Solution

The fourth proportional to 327,703.12, 491,745.67 and 138,151.85 is: 207,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,703.12 : 491,745.67 = 138,151.85 : x
  2. Step 2: Convert to fraction form
    327,703.12/491,745.67 = 138,151.85/x
  3. Step 3: Cross multiply
    327,703.12x = 491,745.67 × 138,151.85
  4. Step 4: Simplify right side
    327,703.12x = 67,935,571,235.88
  5. Step 5: Solve for x
    x = 67,935,571,235.88/327,703.12
  6. Step 6: Final answer
    x = 207,308.28

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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.