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Finding the Fourth Proportional to 363,542.56, 545,229.04 and 138,820.48

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Solution

The fourth proportional to 363,542.56, 545,229.04 and 138,820.48 is: 208,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,542.56 : 545,229.04 = 138,820.48 : x
  2. Step 2: Convert to fraction form
    363,542.56/545,229.04 = 138,820.48/x
  3. Step 3: Cross multiply
    363,542.56x = 545,229.04 × 138,820.48
  4. Step 4: Simplify right side
    363,542.56x = 75,688,957,042.74
  5. Step 5: Solve for x
    x = 75,688,957,042.74/363,542.56
  6. Step 6: Final answer
    x = 208,198.34

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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.