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Finding the Fourth Proportional to 361,456.70, 498,830.10 and 200,308.29

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Solution

The fourth proportional to 361,456.70, 498,830.10 and 200,308.29 is: 276,436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,456.70 : 498,830.10 = 200,308.29 : x
  2. Step 2: Convert to fraction form
    361,456.70/498,830.10 = 200,308.29/x
  3. Step 3: Cross multiply
    361,456.70x = 498,830.10 × 200,308.29
  4. Step 4: Simplify right side
    361,456.70x = 99,919,801,709.76
  5. Step 5: Solve for x
    x = 99,919,801,709.76/361,456.70
  6. Step 6: Final answer
    x = 276,436.44

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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.