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Finding the Fourth Proportional to 323,728.91, 446,778.56 and 187,804.43

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Solution

The fourth proportional to 323,728.91, 446,778.56 and 187,804.43 is: 259,189.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,728.91 : 446,778.56 = 187,804.43 : x
  2. Step 2: Convert to fraction form
    323,728.91/446,778.56 = 187,804.43/x
  3. Step 3: Cross multiply
    323,728.91x = 446,778.56 × 187,804.43
  4. Step 4: Simplify right side
    323,728.91x = 83,906,992,797.02
  5. Step 5: Solve for x
    x = 83,906,992,797.02/323,728.91
  6. Step 6: Final answer
    x = 259,189.06

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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.