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Finding the Fourth Proportional to 823,964.40, 1,236,868.20 and 769,820.40

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Solution

The fourth proportional to 823,964.40, 1,236,868.20 and 769,820.40 is: 1,155,591.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,964.40 : 1,236,868.20 = 769,820.40 : x
  2. Step 2: Convert to fraction form
    823,964.40/1,236,868.20 = 769,820.40/x
  3. Step 3: Cross multiply
    823,964.40x = 1,236,868.20 × 769,820.40
  4. Step 4: Simplify right side
    823,964.40x = 952,166,372,471.28
  5. Step 5: Solve for x
    x = 952,166,372,471.28/823,964.40
  6. Step 6: Final answer
    x = 1,155,591.64

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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.