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Finding the Fourth Proportional to 496,517.28, 685,191.96 and 281,698.80

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Solution

The fourth proportional to 496,517.28, 685,191.96 and 281,698.80 is: 388,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,517.28 : 685,191.96 = 281,698.80 : x
  2. Step 2: Convert to fraction form
    496,517.28/685,191.96 = 281,698.80/x
  3. Step 3: Cross multiply
    496,517.28x = 685,191.96 × 281,698.80
  4. Step 4: Simplify right side
    496,517.28x = 193,017,752,901.65
  5. Step 5: Solve for x
    x = 193,017,752,901.65/496,517.28
  6. Step 6: Final answer
    x = 388,743.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.