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Finding the Fourth Proportional to 442,914.75, 664,372.13 and 143,645.67

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Solution

The fourth proportional to 442,914.75, 664,372.13 and 143,645.67 is: 215,468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,914.75 : 664,372.13 = 143,645.67 : x
  2. Step 2: Convert to fraction form
    442,914.75/664,372.13 = 143,645.67/x
  3. Step 3: Cross multiply
    442,914.75x = 664,372.13 × 143,645.67
  4. Step 4: Simplify right side
    442,914.75x = 95,434,179,024.95
  5. Step 5: Solve for x
    x = 95,434,179,024.95/442,914.75
  6. Step 6: Final answer
    x = 215,468.51

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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.