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Finding the Fourth Proportional to 269,078.74, 402,996.03 and 259,747.54

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Solution

The fourth proportional to 269,078.74, 402,996.03 and 259,747.54 is: 389,020.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,078.74 : 402,996.03 = 259,747.54 : x
  2. Step 2: Convert to fraction form
    269,078.74/402,996.03 = 259,747.54/x
  3. Step 3: Cross multiply
    269,078.74x = 402,996.03 × 259,747.54
  4. Step 4: Simplify right side
    269,078.74x = 104,677,227,422.27
  5. Step 5: Solve for x
    x = 104,677,227,422.27/269,078.74
  6. Step 6: Final answer
    x = 389,020.80

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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.