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Finding the Fourth Proportional to 311,871.75, 467,737.07 and 143,229.96

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Solution

The fourth proportional to 311,871.75, 467,737.07 and 143,229.96 is: 214,812.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,871.75 : 467,737.07 = 143,229.96 : x
  2. Step 2: Convert to fraction form
    311,871.75/467,737.07 = 143,229.96/x
  3. Step 3: Cross multiply
    311,871.75x = 467,737.07 × 143,229.96
  4. Step 4: Simplify right side
    311,871.75x = 66,993,961,110.47
  5. Step 5: Solve for x
    x = 66,993,961,110.47/311,871.75
  6. Step 6: Final answer
    x = 214,812.53

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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.