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Finding the Fourth Proportional to 551,405.10, 827,107.65 and 271,469.10

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Solution

The fourth proportional to 551,405.10, 827,107.65 and 271,469.10 is: 407,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,405.10 : 827,107.65 = 271,469.10 : x
  2. Step 2: Convert to fraction form
    551,405.10/827,107.65 = 271,469.10/x
  3. Step 3: Cross multiply
    551,405.10x = 827,107.65 × 271,469.10
  4. Step 4: Simplify right side
    551,405.10x = 224,534,169,348.62
  5. Step 5: Solve for x
    x = 224,534,169,348.62/551,405.10
  6. Step 6: Final answer
    x = 407,203.65

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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.