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Finding the Fourth Proportional to 262,906.30, 394,201.80 and 120,573.28

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Solution

The fourth proportional to 262,906.30, 394,201.80 and 120,573.28 is: 180,787.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,906.30 : 394,201.80 = 120,573.28 : x
  2. Step 2: Convert to fraction form
    262,906.30/394,201.80 = 120,573.28/x
  3. Step 3: Cross multiply
    262,906.30x = 394,201.80 × 120,573.28
  4. Step 4: Simplify right side
    262,906.30x = 47,530,204,007.90
  5. Step 5: Solve for x
    x = 47,530,204,007.90/262,906.30
  6. Step 6: Final answer
    x = 180,787.62

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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.