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Finding the Fourth Proportional to 442,680.85, 664,057.77 and 143,209.54

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Solution

The fourth proportional to 442,680.85, 664,057.77 and 143,209.54 is: 214,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,680.85 : 664,057.77 = 143,209.54 : x
  2. Step 2: Convert to fraction form
    442,680.85/664,057.77 = 143,209.54/x
  3. Step 3: Cross multiply
    442,680.85x = 664,057.77 × 143,209.54
  4. Step 4: Simplify right side
    442,680.85x = 95,099,407,775.13
  5. Step 5: Solve for x
    x = 95,099,407,775.13/442,680.85
  6. Step 6: Final answer
    x = 214,826.12

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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.