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Finding the Fourth Proportional to 490,863.88, 736,213.80 and 135,913.78

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Solution

The fourth proportional to 490,863.88, 736,213.80 and 135,913.78 is: 203,847.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,863.88 : 736,213.80 = 135,913.78 : x
  2. Step 2: Convert to fraction form
    490,863.88/736,213.80 = 135,913.78/x
  3. Step 3: Cross multiply
    490,863.88x = 736,213.80 × 135,913.78
  4. Step 4: Simplify right side
    490,863.88x = 100,061,600,446.16
  5. Step 5: Solve for x
    x = 100,061,600,446.16/490,863.88
  6. Step 6: Final answer
    x = 203,847.96

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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.