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Finding the Fourth Proportional to 411,982.65, 617,481.90 and 212,200.20

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Solution

The fourth proportional to 411,982.65, 617,481.90 and 212,200.20 is: 318,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,982.65 : 617,481.90 = 212,200.20 : x
  2. Step 2: Convert to fraction form
    411,982.65/617,481.90 = 212,200.20/x
  3. Step 3: Cross multiply
    411,982.65x = 617,481.90 × 212,200.20
  4. Step 4: Simplify right side
    411,982.65x = 131,029,782,676.38
  5. Step 5: Solve for x
    x = 131,029,782,676.38/411,982.65
  6. Step 6: Final answer
    x = 318,046.85

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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.