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Finding the Fourth Proportional to 1,299,768.80, 1,949,361.60 and 853,620.80

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Solution

The fourth proportional to 1,299,768.80, 1,949,361.60 and 853,620.80 is: 1,280,239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,768.80 : 1,949,361.60 = 853,620.80 : x
  2. Step 2: Convert to fraction form
    1,299,768.80/1,949,361.60 = 853,620.80/x
  3. Step 3: Cross multiply
    1,299,768.80x = 1,949,361.60 × 853,620.80
  4. Step 4: Simplify right side
    1,299,768.80x = 1,664,015,608,481.28
  5. Step 5: Solve for x
    x = 1,664,015,608,481.28/1,299,768.80
  6. Step 6: Final answer
    x = 1,280,239.69

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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.