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Finding the Fourth Proportional to 392,410.78, 541,537.25 and 220,342.48

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Solution

The fourth proportional to 392,410.78, 541,537.25 and 220,342.48 is: 304,078.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,410.78 : 541,537.25 = 220,342.48 : x
  2. Step 2: Convert to fraction form
    392,410.78/541,537.25 = 220,342.48/x
  3. Step 3: Cross multiply
    392,410.78x = 541,537.25 × 220,342.48
  4. Step 4: Simplify right side
    392,410.78x = 119,323,658,221.83
  5. Step 5: Solve for x
    x = 119,323,658,221.83/392,410.78
  6. Step 6: Final answer
    x = 304,078.44

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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.