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Finding the Fourth Proportional to 311,313.20, 467,115.60 and 161,722.40

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Solution

The fourth proportional to 311,313.20, 467,115.60 and 161,722.40 is: 242,659.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,313.20 : 467,115.60 = 161,722.40 : x
  2. Step 2: Convert to fraction form
    311,313.20/467,115.60 = 161,722.40/x
  3. Step 3: Cross multiply
    311,313.20x = 467,115.60 × 161,722.40
  4. Step 4: Simplify right side
    311,313.20x = 75,543,055,909.44
  5. Step 5: Solve for x
    x = 75,543,055,909.44/311,313.20
  6. Step 6: Final answer
    x = 242,659.34

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1.5x scale

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.