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Finding the Fourth Proportional to 279,942.96, 419,912.88 and 69,580.80

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Solution

The fourth proportional to 279,942.96, 419,912.88 and 69,580.80 is: 104,370.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,942.96 : 419,912.88 = 69,580.80 : x
  2. Step 2: Convert to fraction form
    279,942.96/419,912.88 = 69,580.80/x
  3. Step 3: Cross multiply
    279,942.96x = 419,912.88 × 69,580.80
  4. Step 4: Simplify right side
    279,942.96x = 29,217,874,120.70
  5. Step 5: Solve for x
    x = 29,217,874,120.70/279,942.96
  6. Step 6: Final answer
    x = 104,370.81

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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.