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Finding the Fourth Proportional to 323,408.32, 485,179.68 and 136,421.44

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Solution

The fourth proportional to 323,408.32, 485,179.68 and 136,421.44 is: 204,660.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,408.32 : 485,179.68 = 136,421.44 : x
  2. Step 2: Convert to fraction form
    323,408.32/485,179.68 = 136,421.44/x
  3. Step 3: Cross multiply
    323,408.32x = 485,179.68 × 136,421.44
  4. Step 4: Simplify right side
    323,408.32x = 66,188,910,604.34
  5. Step 5: Solve for x
    x = 66,188,910,604.34/323,408.32
  6. Step 6: Final answer
    x = 204,660.51

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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.