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Finding the Fourth Proportional to 311,209.60, 466,749.60 and 133,722.40

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Solution

The fourth proportional to 311,209.60, 466,749.60 and 133,722.40 is: 200,555.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,209.60 : 466,749.60 = 133,722.40 : x
  2. Step 2: Convert to fraction form
    311,209.60/466,749.60 = 133,722.40/x
  3. Step 3: Cross multiply
    311,209.60x = 466,749.60 × 133,722.40
  4. Step 4: Simplify right side
    311,209.60x = 62,414,876,711.04
  5. Step 5: Solve for x
    x = 62,414,876,711.04/311,209.60
  6. Step 6: Final answer
    x = 200,555.76

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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.