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Finding the Fourth Proportional to 311,845.20, 468,199.80 and 200,216.40

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Solution

The fourth proportional to 311,845.20, 468,199.80 and 200,216.40 is: 300,601.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,845.20 : 468,199.80 = 200,216.40 : x
  2. Step 2: Convert to fraction form
    311,845.20/468,199.80 = 200,216.40/x
  3. Step 3: Cross multiply
    311,845.20x = 468,199.80 × 200,216.40
  4. Step 4: Simplify right side
    311,845.20x = 93,741,278,436.72
  5. Step 5: Solve for x
    x = 93,741,278,436.72/311,845.20
  6. Step 6: Final answer
    x = 300,601.96

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1.5x scale

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.