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Finding the Fourth Proportional to 320,687.62, 481,046.92 and 84,030.53

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Solution

The fourth proportional to 320,687.62, 481,046.92 and 84,030.53 is: 126,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,687.62 : 481,046.92 = 84,030.53 : x
  2. Step 2: Convert to fraction form
    320,687.62/481,046.92 = 84,030.53/x
  3. Step 3: Cross multiply
    320,687.62x = 481,046.92 × 84,030.53
  4. Step 4: Simplify right side
    320,687.62x = 40,422,625,027.16
  5. Step 5: Solve for x
    x = 40,422,625,027.16/320,687.62
  6. Step 6: Final answer
    x = 126,049.85

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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.