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Finding the Fourth Proportional to 361,346.90, 498,652.26 and 200,198.72

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Solution

The fourth proportional to 361,346.90, 498,652.26 and 200,198.72 is: 276,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,346.90 : 498,652.26 = 200,198.72 : x
  2. Step 2: Convert to fraction form
    361,346.90/498,652.26 = 200,198.72/x
  3. Step 3: Cross multiply
    361,346.90x = 498,652.26 × 200,198.72
  4. Step 4: Simplify right side
    361,346.90x = 99,829,543,553.79
  5. Step 5: Solve for x
    x = 99,829,543,553.79/361,346.90
  6. Step 6: Final answer
    x = 276,270.65

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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.