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Finding the Fourth Proportional to 388,964.91, 582,347.09 and 206,179.22

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Solution

The fourth proportional to 388,964.91, 582,347.09 and 206,179.22 is: 308,685.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,964.91 : 582,347.09 = 206,179.22 : x
  2. Step 2: Convert to fraction form
    388,964.91/582,347.09 = 206,179.22/x
  3. Step 3: Cross multiply
    388,964.91x = 582,347.09 × 206,179.22
  4. Step 4: Simplify right side
    388,964.91x = 120,067,870,703.66
  5. Step 5: Solve for x
    x = 120,067,870,703.66/388,964.91
  6. Step 6: Final answer
    x = 308,685.61

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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.