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Finding the Fourth Proportional to 298,445.88, 447,824.34 and 132,195

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Solution

The fourth proportional to 298,445.88, 447,824.34 and 132,195 is: 198,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,445.88 : 447,824.34 = 132,195 : x
  2. Step 2: Convert to fraction form
    298,445.88/447,824.34 = 132,195/x
  3. Step 3: Cross multiply
    298,445.88x = 447,824.34 × 132,195
  4. Step 4: Simplify right side
    298,445.88x = 59,200,138,626.30
  5. Step 5: Solve for x
    x = 59,200,138,626.30/298,445.88
  6. Step 6: Final answer
    x = 198,361.39

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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.