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Finding the Fourth Proportional to 263,693.87, 395,381.34 and 103,578.14

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Solution

The fourth proportional to 263,693.87, 395,381.34 and 103,578.14 is: 155,304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,693.87 : 395,381.34 = 103,578.14 : x
  2. Step 2: Convert to fraction form
    263,693.87/395,381.34 = 103,578.14/x
  3. Step 3: Cross multiply
    263,693.87x = 395,381.34 × 103,578.14
  4. Step 4: Simplify right side
    263,693.87x = 40,952,861,811.00
  5. Step 5: Solve for x
    x = 40,952,861,811.00/263,693.87
  6. Step 6: Final answer
    x = 155,304.56

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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.