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Finding the Fourth Proportional to 218,321.70, 327,378.83 and 76,149.70

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Solution

The fourth proportional to 218,321.70, 327,378.83 and 76,149.70 is: 114,188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,321.70 : 327,378.83 = 76,149.70 : x
  2. Step 2: Convert to fraction form
    218,321.70/327,378.83 = 76,149.70/x
  3. Step 3: Cross multiply
    218,321.70x = 327,378.83 × 76,149.70
  4. Step 4: Simplify right side
    218,321.70x = 24,929,800,761.50
  5. Step 5: Solve for x
    x = 24,929,800,761.50/218,321.70
  6. Step 6: Final answer
    x = 114,188.38

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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.