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Finding the Fourth Proportional to 311,166.80, 465,583.80 and 206,190.80

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Solution

The fourth proportional to 311,166.80, 465,583.80 and 206,190.80 is: 308,513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,166.80 : 465,583.80 = 206,190.80 : x
  2. Step 2: Convert to fraction form
    311,166.80/465,583.80 = 206,190.80/x
  3. Step 3: Cross multiply
    311,166.80x = 465,583.80 × 206,190.80
  4. Step 4: Simplify right side
    311,166.80x = 95,999,096,189.04
  5. Step 5: Solve for x
    x = 95,999,096,189.04/311,166.80
  6. Step 6: Final answer
    x = 308,513.30

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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.