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Finding the Fourth Proportional to 308,379.36, 425,634.64 and 200,762

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Solution

The fourth proportional to 308,379.36, 425,634.64 and 200,762 is: 277,097.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,379.36 : 425,634.64 = 200,762 : x
  2. Step 2: Convert to fraction form
    308,379.36/425,634.64 = 200,762/x
  3. Step 3: Cross multiply
    308,379.36x = 425,634.64 × 200,762
  4. Step 4: Simplify right side
    308,379.36x = 85,451,261,595.68
  5. Step 5: Solve for x
    x = 85,451,261,595.68/308,379.36
  6. Step 6: Final answer
    x = 277,097.86

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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.