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Finding the Fourth Proportional to 461,198.44, 691,147.37 and 217,779.78

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Solution

The fourth proportional to 461,198.44, 691,147.37 and 217,779.78 is: 326,362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,198.44 : 691,147.37 = 217,779.78 : x
  2. Step 2: Convert to fraction form
    461,198.44/691,147.37 = 217,779.78/x
  3. Step 3: Cross multiply
    461,198.44x = 691,147.37 × 217,779.78
  4. Step 4: Simplify right side
    461,198.44x = 150,517,925,153.71
  5. Step 5: Solve for x
    x = 150,517,925,153.71/461,198.44
  6. Step 6: Final answer
    x = 326,362.61

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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.