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Finding the Fourth Proportional to 262,959.50, 394,242.42 and 85,360.52

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Solution

The fourth proportional to 262,959.50, 394,242.42 and 85,360.52 is: 127,976.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,959.50 : 394,242.42 = 85,360.52 : x
  2. Step 2: Convert to fraction form
    262,959.50/394,242.42 = 85,360.52/x
  3. Step 3: Cross multiply
    262,959.50x = 394,242.42 × 85,360.52
  4. Step 4: Simplify right side
    262,959.50x = 33,652,737,977.26
  5. Step 5: Solve for x
    x = 33,652,737,977.26/262,959.50
  6. Step 6: Final answer
    x = 127,976.89

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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.