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Finding the Fourth Proportional to 361,404.25, 498,757.80 and 200,255.86

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Solution

The fourth proportional to 361,404.25, 498,757.80 and 200,255.86 is: 276,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,404.25 : 498,757.80 = 200,255.86 : x
  2. Step 2: Convert to fraction form
    361,404.25/498,757.80 = 200,255.86/x
  3. Step 3: Cross multiply
    361,404.25x = 498,757.80 × 200,255.86
  4. Step 4: Simplify right side
    361,404.25x = 99,879,173,545.11
  5. Step 5: Solve for x
    x = 99,879,173,545.11/361,404.25
  6. Step 6: Final answer
    x = 276,364.14

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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.