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Finding the Fourth Proportional to 323,888.82, 446,735.22 and 280,791.30

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Solution

The fourth proportional to 323,888.82, 446,735.22 and 280,791.30 is: 387,291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,888.82 : 446,735.22 = 280,791.30 : x
  2. Step 2: Convert to fraction form
    323,888.82/446,735.22 = 280,791.30/x
  3. Step 3: Cross multiply
    323,888.82x = 446,735.22 × 280,791.30
  4. Step 4: Simplify right side
    323,888.82x = 125,439,363,179.59
  5. Step 5: Solve for x
    x = 125,439,363,179.59/323,888.82
  6. Step 6: Final answer
    x = 387,291.43

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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.