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Finding the Fourth Proportional to 491,163.69, 677,791.22 and 297,685.88

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Solution

The fourth proportional to 491,163.69, 677,791.22 and 297,685.88 is: 410,797.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,163.69 : 677,791.22 = 297,685.88 : x
  2. Step 2: Convert to fraction form
    491,163.69/677,791.22 = 297,685.88/x
  3. Step 3: Cross multiply
    491,163.69x = 677,791.22 × 297,685.88
  4. Step 4: Simplify right side
    491,163.69x = 201,768,870,904.59
  5. Step 5: Solve for x
    x = 201,768,870,904.59/491,163.69
  6. Step 6: Final answer
    x = 410,797.61

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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.