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Finding the Fourth Proportional to 689,198.52, 951,138.54 and 398,868.60

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Solution

The fourth proportional to 689,198.52, 951,138.54 and 398,868.60 is: 550,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,198.52 : 951,138.54 = 398,868.60 : x
  2. Step 2: Convert to fraction form
    689,198.52/951,138.54 = 398,868.60/x
  3. Step 3: Cross multiply
    689,198.52x = 951,138.54 × 398,868.60
  4. Step 4: Simplify right side
    689,198.52x = 379,379,297,855.84
  5. Step 5: Solve for x
    x = 379,379,297,855.84/689,198.52
  6. Step 6: Final answer
    x = 550,464.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.