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Finding the Fourth Proportional to 361,489.33, 498,855.32 and 200,354.78

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Solution

The fourth proportional to 361,489.33, 498,855.32 and 200,354.78 is: 276,489.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,489.33 : 498,855.32 = 200,354.78 : x
  2. Step 2: Convert to fraction form
    361,489.33/498,855.32 = 200,354.78/x
  3. Step 3: Cross multiply
    361,489.33x = 498,855.32 × 200,354.78
  4. Step 4: Simplify right side
    361,489.33x = 99,948,050,014.12
  5. Step 5: Solve for x
    x = 99,948,050,014.12/361,489.33
  6. Step 6: Final answer
    x = 276,489.63

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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.