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Finding the Fourth Proportional to 321,469.92, 482,149.44 and 84,814.56

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Solution

The fourth proportional to 321,469.92, 482,149.44 and 84,814.56 is: 127,207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,469.92 : 482,149.44 = 84,814.56 : x
  2. Step 2: Convert to fraction form
    321,469.92/482,149.44 = 84,814.56/x
  3. Step 3: Cross multiply
    321,469.92x = 482,149.44 × 84,814.56
  4. Step 4: Simplify right side
    321,469.92x = 40,893,292,607.85
  5. Step 5: Solve for x
    x = 40,893,292,607.85/321,469.92
  6. Step 6: Final answer
    x = 127,207.21

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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.