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Finding the Fourth Proportional to 491,321.70, 677,855.79 and 297,789.21

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Solution

The fourth proportional to 491,321.70, 677,855.79 and 297,789.21 is: 410,847.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,321.70 : 677,855.79 = 297,789.21 : x
  2. Step 2: Convert to fraction form
    491,321.70/677,855.79 = 297,789.21/x
  3. Step 3: Cross multiply
    491,321.70x = 677,855.79 × 297,789.21
  4. Step 4: Simplify right side
    491,321.70x = 201,858,140,198.03
  5. Step 5: Solve for x
    x = 201,858,140,198.03/491,321.70
  6. Step 6: Final answer
    x = 410,847.19

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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.