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Finding the Fourth Proportional to 311,849.20, 468,205.80 and 200,220.40

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Solution

The fourth proportional to 311,849.20, 468,205.80 and 200,220.40 is: 300,607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,849.20 : 468,205.80 = 200,220.40 : x
  2. Step 2: Convert to fraction form
    311,849.20/468,205.80 = 200,220.40/x
  3. Step 3: Cross multiply
    311,849.20x = 468,205.80 × 200,220.40
  4. Step 4: Simplify right side
    311,849.20x = 93,744,352,558.32
  5. Step 5: Solve for x
    x = 93,744,352,558.32/311,849.20
  6. Step 6: Final answer
    x = 300,607.96

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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.