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Finding the Fourth Proportional to 387,625.38, 581,684.31 and 200,636.88

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Solution

The fourth proportional to 387,625.38, 581,684.31 and 200,636.88 is: 301,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,625.38 : 581,684.31 = 200,636.88 : x
  2. Step 2: Convert to fraction form
    387,625.38/581,684.31 = 200,636.88/x
  3. Step 3: Cross multiply
    387,625.38x = 581,684.31 × 200,636.88
  4. Step 4: Simplify right side
    387,625.38x = 116,707,325,103.35
  5. Step 5: Solve for x
    x = 116,707,325,103.35/387,625.38
  6. Step 6: Final answer
    x = 301,082.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.