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Finding the Fourth Proportional to 298,330.25, 447,446.43 and 82,138.55

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Solution

The fourth proportional to 298,330.25, 447,446.43 and 82,138.55 is: 123,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,330.25 : 447,446.43 = 82,138.55 : x
  2. Step 2: Convert to fraction form
    298,330.25/447,446.43 = 82,138.55/x
  3. Step 3: Cross multiply
    298,330.25x = 447,446.43 × 82,138.55
  4. Step 4: Simplify right side
    298,330.25x = 36,752,598,725.64
  5. Step 5: Solve for x
    x = 36,752,598,725.64/298,330.25
  6. Step 6: Final answer
    x = 123,194.34

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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.