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Finding the Fourth Proportional to 361,324.78, 498,627.84 and 200,189.86

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Solution

The fourth proportional to 361,324.78, 498,627.84 and 200,189.86 is: 276,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,324.78 : 498,627.84 = 200,189.86 : x
  2. Step 2: Convert to fraction form
    361,324.78/498,627.84 = 200,189.86/x
  3. Step 3: Cross multiply
    361,324.78x = 498,627.84 × 200,189.86
  4. Step 4: Simplify right side
    361,324.78x = 99,820,237,481.70
  5. Step 5: Solve for x
    x = 99,820,237,481.70/361,324.78
  6. Step 6: Final answer
    x = 276,261.81

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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.