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Finding the Fourth Proportional to 323,982.63, 447,104.85 and 203,112.57

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Solution

The fourth proportional to 323,982.63, 447,104.85 and 203,112.57 is: 280,300.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,982.63 : 447,104.85 = 203,112.57 : x
  2. Step 2: Convert to fraction form
    323,982.63/447,104.85 = 203,112.57/x
  3. Step 3: Cross multiply
    323,982.63x = 447,104.85 × 203,112.57
  4. Step 4: Simplify right side
    323,982.63x = 90,812,615,142.96
  5. Step 5: Solve for x
    x = 90,812,615,142.96/323,982.63
  6. Step 6: Final answer
    x = 280,300.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.