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Finding the Fourth Proportional to 275,283.75, 412,846.29 and 75,610.65

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Solution

The fourth proportional to 275,283.75, 412,846.29 and 75,610.65 is: 113,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,283.75 : 412,846.29 = 75,610.65 : x
  2. Step 2: Convert to fraction form
    275,283.75/412,846.29 = 75,610.65/x
  3. Step 3: Cross multiply
    275,283.75x = 412,846.29 × 75,610.65
  4. Step 4: Simplify right side
    275,283.75x = 31,215,576,336.99
  5. Step 5: Solve for x
    x = 31,215,576,336.99/275,283.75
  6. Step 6: Final answer
    x = 113,394.18

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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.