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Finding the Fourth Proportional to 496,517.16, 685,206.96 and 281,689.50

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Solution

The fourth proportional to 496,517.16, 685,206.96 and 281,689.50 is: 388,739.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,517.16 : 685,206.96 = 281,689.50 : x
  2. Step 2: Convert to fraction form
    496,517.16/685,206.96 = 281,689.50/x
  3. Step 3: Cross multiply
    496,517.16x = 685,206.96 × 281,689.50
  4. Step 4: Simplify right side
    496,517.16x = 193,015,605,958.92
  5. Step 5: Solve for x
    x = 193,015,605,958.92/496,517.16
  6. Step 6: Final answer
    x = 388,739.04

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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.