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Finding the Fourth Proportional to 215,846.70, 323,770.05 and 171,231.90

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Solution

The fourth proportional to 215,846.70, 323,770.05 and 171,231.90 is: 256,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,846.70 : 323,770.05 = 171,231.90 : x
  2. Step 2: Convert to fraction form
    215,846.70/323,770.05 = 171,231.90/x
  3. Step 3: Cross multiply
    215,846.70x = 323,770.05 × 171,231.90
  4. Step 4: Simplify right side
    215,846.70x = 55,439,760,824.60
  5. Step 5: Solve for x
    x = 55,439,760,824.60/215,846.70
  6. Step 6: Final answer
    x = 256,847.85

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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.