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Finding the Fourth Proportional to 263,295.93, 394,960.31 and 105,503.88

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Solution

The fourth proportional to 263,295.93, 394,960.31 and 105,503.88 is: 158,262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,295.93 : 394,960.31 = 105,503.88 : x
  2. Step 2: Convert to fraction form
    263,295.93/394,960.31 = 105,503.88/x
  3. Step 3: Cross multiply
    263,295.93x = 394,960.31 × 105,503.88
  4. Step 4: Simplify right side
    263,295.93x = 41,669,846,500.22
  5. Step 5: Solve for x
    x = 41,669,846,500.22/263,295.93
  6. Step 6: Final answer
    x = 158,262.40

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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.