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Finding the Fourth Proportional to 323,891.22, 446,738.43 and 280,793.61

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Solution

The fourth proportional to 323,891.22, 446,738.43 and 280,793.61 is: 387,294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,891.22 : 446,738.43 = 280,793.61 : x
  2. Step 2: Convert to fraction form
    323,891.22/446,738.43 = 280,793.61/x
  3. Step 3: Cross multiply
    323,891.22x = 446,738.43 × 280,793.61
  4. Step 4: Simplify right side
    323,891.22x = 125,441,296,485.43
  5. Step 5: Solve for x
    x = 125,441,296,485.43/323,891.22
  6. Step 6: Final answer
    x = 387,294.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.