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Finding the Fourth Proportional to 321,747.93, 482,621.85 and 111,385.80

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Solution

The fourth proportional to 321,747.93, 482,621.85 and 111,385.80 is: 167,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,747.93 : 482,621.85 = 111,385.80 : x
  2. Step 2: Convert to fraction form
    321,747.93/482,621.85 = 111,385.80/x
  3. Step 3: Cross multiply
    321,747.93x = 482,621.85 × 111,385.80
  4. Step 4: Simplify right side
    321,747.93x = 53,757,220,859.73
  5. Step 5: Solve for x
    x = 53,757,220,859.73/321,747.93
  6. Step 6: Final answer
    x = 167,078.68

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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.