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Finding the Fourth Proportional to 263,334.86, 394,969 and 83,438.54

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Solution

The fourth proportional to 263,334.86, 394,969 and 83,438.54 is: 125,147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,334.86 : 394,969 = 83,438.54 : x
  2. Step 2: Convert to fraction form
    263,334.86/394,969 = 83,438.54/x
  3. Step 3: Cross multiply
    263,334.86x = 394,969 × 83,438.54
  4. Step 4: Simplify right side
    263,334.86x = 32,955,636,705.26
  5. Step 5: Solve for x
    x = 32,955,636,705.26/263,334.86
  6. Step 6: Final answer
    x = 125,147.26

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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.