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Finding the Fourth Proportional to 275,274.70, 412,912.05 and 195,558.55

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Solution

The fourth proportional to 275,274.70, 412,912.05 and 195,558.55 is: 293,337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,274.70 : 412,912.05 = 195,558.55 : x
  2. Step 2: Convert to fraction form
    275,274.70/412,912.05 = 195,558.55/x
  3. Step 3: Cross multiply
    275,274.70x = 412,912.05 × 195,558.55
  4. Step 4: Simplify right side
    275,274.70x = 80,748,481,775.53
  5. Step 5: Solve for x
    x = 80,748,481,775.53/275,274.70
  6. Step 6: Final answer
    x = 293,337.83

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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.