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Finding the Fourth Proportional to 262,912.25, 394,421.45 and 83,025.79

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Solution

The fourth proportional to 262,912.25, 394,421.45 and 83,025.79 is: 124,555.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,912.25 : 394,421.45 = 83,025.79 : x
  2. Step 2: Convert to fraction form
    262,912.25/394,421.45 = 83,025.79/x
  3. Step 3: Cross multiply
    262,912.25x = 394,421.45 × 83,025.79
  4. Step 4: Simplify right side
    262,912.25x = 32,747,151,078.01
  5. Step 5: Solve for x
    x = 32,747,151,078.01/262,912.25
  6. Step 6: Final answer
    x = 124,555.44

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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.