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Finding the Fourth Proportional to 305,650.35, 457,879.11 and 200,149.47

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Solution

The fourth proportional to 305,650.35, 457,879.11 and 200,149.47 is: 299,833.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,650.35 : 457,879.11 = 200,149.47 : x
  2. Step 2: Convert to fraction form
    305,650.35/457,879.11 = 200,149.47/x
  3. Step 3: Cross multiply
    305,650.35x = 457,879.11 × 200,149.47
  4. Step 4: Simplify right side
    305,650.35x = 91,644,261,190.57
  5. Step 5: Solve for x
    x = 91,644,261,190.57/305,650.35
  6. Step 6: Final answer
    x = 299,833.65

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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.