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Finding the Fourth Proportional to 297,375.79, 410,379.00 and 161,409.76

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Solution

The fourth proportional to 297,375.79, 410,379.00 and 161,409.76 is: 222,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,375.79 : 410,379.00 = 161,409.76 : x
  2. Step 2: Convert to fraction form
    297,375.79/410,379.00 = 161,409.76/x
  3. Step 3: Cross multiply
    297,375.79x = 410,379.00 × 161,409.76
  4. Step 4: Simplify right side
    297,375.79x = 66,239,175,806.73
  5. Step 5: Solve for x
    x = 66,239,175,806.73/297,375.79
  6. Step 6: Final answer
    x = 222,745.69

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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.