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Finding the Fourth Proportional to 505,967.92, 758,951.88 and 206,589.49

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Solution

The fourth proportional to 505,967.92, 758,951.88 and 206,589.49 is: 309,884.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,967.92 : 758,951.88 = 206,589.49 : x
  2. Step 2: Convert to fraction form
    505,967.92/758,951.88 = 206,589.49/x
  3. Step 3: Cross multiply
    505,967.92x = 758,951.88 × 206,589.49
  4. Step 4: Simplify right side
    505,967.92x = 156,791,479,151.65
  5. Step 5: Solve for x
    x = 156,791,479,151.65/505,967.92
  6. Step 6: Final answer
    x = 309,884.23

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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.