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Finding the Fourth Proportional to 820,676, 1,231,173.60 and 315,200

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Solution

The fourth proportional to 820,676, 1,231,173.60 and 315,200 is: 472,861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,676 : 1,231,173.60 = 315,200 : x
  2. Step 2: Convert to fraction form
    820,676/1,231,173.60 = 315,200/x
  3. Step 3: Cross multiply
    820,676x = 1,231,173.60 × 315,200
  4. Step 4: Simplify right side
    820,676x = 388,065,918,720
  5. Step 5: Solve for x
    x = 388,065,918,720/820,676
  6. Step 6: Final answer
    x = 472,861.30

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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.