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Finding the Fourth Proportional to 221,408.20, 332,112.30 and 146,612.80

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Solution

The fourth proportional to 221,408.20, 332,112.30 and 146,612.80 is: 219,919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,408.20 : 332,112.30 = 146,612.80 : x
  2. Step 2: Convert to fraction form
    221,408.20/332,112.30 = 146,612.80/x
  3. Step 3: Cross multiply
    221,408.20x = 332,112.30 × 146,612.80
  4. Step 4: Simplify right side
    221,408.20x = 48,691,914,217.44
  5. Step 5: Solve for x
    x = 48,691,914,217.44/221,408.20
  6. Step 6: Final answer
    x = 219,919.20

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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.