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Finding the Fourth Proportional to 551,408.10, 827,112.15 and 271,472.10

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Solution

The fourth proportional to 551,408.10, 827,112.15 and 271,472.10 is: 407,208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,408.10 : 827,112.15 = 271,472.10 : x
  2. Step 2: Convert to fraction form
    551,408.10/827,112.15 = 271,472.10/x
  3. Step 3: Cross multiply
    551,408.10x = 827,112.15 × 271,472.10
  4. Step 4: Simplify right side
    551,408.10x = 224,537,872,296.02
  5. Step 5: Solve for x
    x = 224,537,872,296.02/551,408.10
  6. Step 6: Final answer
    x = 407,208.15

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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.