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Finding the Fourth Proportional to 551,414.60, 827,121.90 and 271,478.60

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Solution

The fourth proportional to 551,414.60, 827,121.90 and 271,478.60 is: 407,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,414.60 : 827,121.90 = 271,478.60 : x
  2. Step 2: Convert to fraction form
    551,414.60/827,121.90 = 271,478.60/x
  3. Step 3: Cross multiply
    551,414.60x = 827,121.90 × 271,478.60
  4. Step 4: Simplify right side
    551,414.60x = 224,545,895,441.34
  5. Step 5: Solve for x
    x = 224,545,895,441.34/551,414.60
  6. Step 6: Final answer
    x = 407,217.90

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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.