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Finding the Fourth Proportional to 820,163.80, 1,230,245.70 and 687,194.20

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Solution

The fourth proportional to 820,163.80, 1,230,245.70 and 687,194.20 is: 1,030,791.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,163.80 : 1,230,245.70 = 687,194.20 : x
  2. Step 2: Convert to fraction form
    820,163.80/1,230,245.70 = 687,194.20/x
  3. Step 3: Cross multiply
    820,163.80x = 1,230,245.70 × 687,194.20
  4. Step 4: Simplify right side
    820,163.80x = 845,417,709,614.94
  5. Step 5: Solve for x
    x = 845,417,709,614.94/820,163.80
  6. Step 6: Final answer
    x = 1,030,791.30

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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.