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Finding the Fourth Proportional to 262,810.78, 394,278.10 and 85,304.14

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Solution

The fourth proportional to 262,810.78, 394,278.10 and 85,304.14 is: 127,976.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,810.78 : 394,278.10 = 85,304.14 : x
  2. Step 2: Convert to fraction form
    262,810.78/394,278.10 = 85,304.14/x
  3. Step 3: Cross multiply
    262,810.78x = 394,278.10 × 85,304.14
  4. Step 4: Simplify right side
    262,810.78x = 33,633,554,241.33
  5. Step 5: Solve for x
    x = 33,633,554,241.33/262,810.78
  6. Step 6: Final answer
    x = 127,976.31

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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.