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Finding the Fourth Proportional to 269,478.56, 404,100.49 and 77,310.59

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Solution

The fourth proportional to 269,478.56, 404,100.49 and 77,310.59 is: 115,932.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,478.56 : 404,100.49 = 77,310.59 : x
  2. Step 2: Convert to fraction form
    269,478.56/404,100.49 = 77,310.59/x
  3. Step 3: Cross multiply
    269,478.56x = 404,100.49 × 77,310.59
  4. Step 4: Simplify right side
    269,478.56x = 31,241,245,014.93
  5. Step 5: Solve for x
    x = 31,241,245,014.93/269,478.56
  6. Step 6: Final answer
    x = 115,932.21

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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.