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Finding the Fourth Proportional to 271,771.92, 407,214 and 165,188.48

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Solution

The fourth proportional to 271,771.92, 407,214 and 165,188.48 is: 247,512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,771.92 : 407,214 = 165,188.48 : x
  2. Step 2: Convert to fraction form
    271,771.92/407,214 = 165,188.48/x
  3. Step 3: Cross multiply
    271,771.92x = 407,214 × 165,188.48
  4. Step 4: Simplify right side
    271,771.92x = 67,267,061,694.72
  5. Step 5: Solve for x
    x = 67,267,061,694.72/271,771.92
  6. Step 6: Final answer
    x = 247,512.92

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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.