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Finding the Fourth Proportional to 271,200.54, 406,876.98 and 100,419.72

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Solution

The fourth proportional to 271,200.54, 406,876.98 and 100,419.72 is: 150,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,200.54 : 406,876.98 = 100,419.72 : x
  2. Step 2: Convert to fraction form
    271,200.54/406,876.98 = 100,419.72/x
  3. Step 3: Cross multiply
    271,200.54x = 406,876.98 × 100,419.72
  4. Step 4: Simplify right side
    271,200.54x = 40,858,472,406.05
  5. Step 5: Solve for x
    x = 40,858,472,406.05/271,200.54
  6. Step 6: Final answer
    x = 150,657.78

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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.