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Finding the Fourth Proportional to 259,764.40, 389,938.20 and 200,861.20

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Solution

The fourth proportional to 259,764.40, 389,938.20 and 200,861.20 is: 301,517.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,764.40 : 389,938.20 = 200,861.20 : x
  2. Step 2: Convert to fraction form
    259,764.40/389,938.20 = 200,861.20/x
  3. Step 3: Cross multiply
    259,764.40x = 389,938.20 × 200,861.20
  4. Step 4: Simplify right side
    259,764.40x = 78,323,454,777.84
  5. Step 5: Solve for x
    x = 78,323,454,777.84/259,764.40
  6. Step 6: Final answer
    x = 301,517.28

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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.