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Finding the Fourth Proportional to 321,213.75, 481,850.33 and 84,557.67

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Solution

The fourth proportional to 321,213.75, 481,850.33 and 84,557.67 is: 126,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,213.75 : 481,850.33 = 84,557.67 : x
  2. Step 2: Convert to fraction form
    321,213.75/481,850.33 = 84,557.67/x
  3. Step 3: Cross multiply
    321,213.75x = 481,850.33 × 84,557.67
  4. Step 4: Simplify right side
    321,213.75x = 40,744,140,770.74
  5. Step 5: Solve for x
    x = 40,744,140,770.74/321,213.75
  6. Step 6: Final answer
    x = 126,844.32

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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.