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Finding the Fourth Proportional to 271,422.70, 407,134.05 and 121,503.85

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Solution

The fourth proportional to 271,422.70, 407,134.05 and 121,503.85 is: 182,255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,422.70 : 407,134.05 = 121,503.85 : x
  2. Step 2: Convert to fraction form
    271,422.70/407,134.05 = 121,503.85/x
  3. Step 3: Cross multiply
    271,422.70x = 407,134.05 × 121,503.85
  4. Step 4: Simplify right side
    271,422.70x = 49,468,354,541.09
  5. Step 5: Solve for x
    x = 49,468,354,541.09/271,422.70
  6. Step 6: Final answer
    x = 182,255.78

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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.