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Finding the Fourth Proportional to 262,705.43, 394,113.48 and 85,198.59

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Solution

The fourth proportional to 262,705.43, 394,113.48 and 85,198.59 is: 127,815.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,705.43 : 394,113.48 = 85,198.59 : x
  2. Step 2: Convert to fraction form
    262,705.43/394,113.48 = 85,198.59/x
  3. Step 3: Cross multiply
    262,705.43x = 394,113.48 × 85,198.59
  4. Step 4: Simplify right side
    262,705.43x = 33,577,912,795.99
  5. Step 5: Solve for x
    x = 33,577,912,795.99/262,705.43
  6. Step 6: Final answer
    x = 127,815.83

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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.