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Finding the Fourth Proportional to 275,536.20, 412,721.10 and 216,049.80

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Solution

The fourth proportional to 275,536.20, 412,721.10 and 216,049.80 is: 323,617.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,536.20 : 412,721.10 = 216,049.80 : x
  2. Step 2: Convert to fraction form
    275,536.20/412,721.10 = 216,049.80/x
  3. Step 3: Cross multiply
    275,536.20x = 412,721.10 × 216,049.80
  4. Step 4: Simplify right side
    275,536.20x = 89,168,311,110.78
  5. Step 5: Solve for x
    x = 89,168,311,110.78/275,536.20
  6. Step 6: Final answer
    x = 323,617.41

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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.