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Finding the Fourth Proportional to 297,382.50, 410,115.60 and 195,367.50

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Solution

The fourth proportional to 297,382.50, 410,115.60 and 195,367.50 is: 269,428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,382.50 : 410,115.60 = 195,367.50 : x
  2. Step 2: Convert to fraction form
    297,382.50/410,115.60 = 195,367.50/x
  3. Step 3: Cross multiply
    297,382.50x = 410,115.60 × 195,367.50
  4. Step 4: Simplify right side
    297,382.50x = 80,123,259,483
  5. Step 5: Solve for x
    x = 80,123,259,483/297,382.50
  6. Step 6: Final answer
    x = 269,428.29

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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.