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Finding the Fourth Proportional to 206,279.32, 308,939.19 and 200,603.60

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Solution

The fourth proportional to 206,279.32, 308,939.19 and 200,603.60 is: 300,438.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,279.32 : 308,939.19 = 200,603.60 : x
  2. Step 2: Convert to fraction form
    206,279.32/308,939.19 = 200,603.60/x
  3. Step 3: Cross multiply
    206,279.32x = 308,939.19 × 200,603.60
  4. Step 4: Simplify right side
    206,279.32x = 61,974,312,251.95
  5. Step 5: Solve for x
    x = 61,974,312,251.95/206,279.32
  6. Step 6: Final answer
    x = 300,438.81

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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.