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Finding the Fourth Proportional to 269,078, 371,253.74 and 187,314.62

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Solution

The fourth proportional to 269,078, 371,253.74 and 187,314.62 is: 258,442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,078 : 371,253.74 = 187,314.62 : x
  2. Step 2: Convert to fraction form
    269,078/371,253.74 = 187,314.62/x
  3. Step 3: Cross multiply
    269,078x = 371,253.74 × 187,314.62
  4. Step 4: Simplify right side
    269,078x = 69,541,253,231.68
  5. Step 5: Solve for x
    x = 69,541,253,231.68/269,078
  6. Step 6: Final answer
    x = 258,442.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.