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Finding the Fourth Proportional to 298,442.88, 447,819.84 and 132,192

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Solution

The fourth proportional to 298,442.88, 447,819.84 and 132,192 is: 198,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,442.88 : 447,819.84 = 132,192 : x
  2. Step 2: Convert to fraction form
    298,442.88/447,819.84 = 132,192/x
  3. Step 3: Cross multiply
    298,442.88x = 447,819.84 × 132,192
  4. Step 4: Simplify right side
    298,442.88x = 59,198,200,289.28
  5. Step 5: Solve for x
    x = 59,198,200,289.28/298,442.88
  6. Step 6: Final answer
    x = 198,356.89

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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.