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Finding the Fourth Proportional to 263,716.65, 395,585.89 and 76,728.15

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Solution

The fourth proportional to 263,716.65, 395,585.89 and 76,728.15 is: 115,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,716.65 : 395,585.89 = 76,728.15 : x
  2. Step 2: Convert to fraction form
    263,716.65/395,585.89 = 76,728.15/x
  3. Step 3: Cross multiply
    263,716.65x = 395,585.89 × 76,728.15
  4. Step 4: Simplify right side
    263,716.65x = 30,352,573,505.80
  5. Step 5: Solve for x
    x = 30,352,573,505.80/263,716.65
  6. Step 6: Final answer
    x = 115,095.40

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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.