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Finding the Fourth Proportional to 311,279.60, 467,138.10 and 133,913.90

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Solution

The fourth proportional to 311,279.60, 467,138.10 and 133,913.90 is: 200,964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,279.60 : 467,138.10 = 133,913.90 : x
  2. Step 2: Convert to fraction form
    311,279.60/467,138.10 = 133,913.90/x
  3. Step 3: Cross multiply
    311,279.60x = 467,138.10 × 133,913.90
  4. Step 4: Simplify right side
    311,279.60x = 62,556,284,809.59
  5. Step 5: Solve for x
    x = 62,556,284,809.59/311,279.60
  6. Step 6: Final answer
    x = 200,964.94

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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.