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Finding the Fourth Proportional to 218,311.78, 327,078.10 and 118,408.25

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Solution

The fourth proportional to 218,311.78, 327,078.10 and 118,408.25 is: 177,401.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,311.78 : 327,078.10 = 118,408.25 : x
  2. Step 2: Convert to fraction form
    218,311.78/327,078.10 = 118,408.25/x
  3. Step 3: Cross multiply
    218,311.78x = 327,078.10 × 118,408.25
  4. Step 4: Simplify right side
    218,311.78x = 38,728,744,842.28
  5. Step 5: Solve for x
    x = 38,728,744,842.28/218,311.78
  6. Step 6: Final answer
    x = 177,401.08

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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.