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Finding the Fourth Proportional to 378,843.53, 568,277.60 and 198,883.50

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Solution

The fourth proportional to 378,843.53, 568,277.60 and 198,883.50 is: 298,331.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,843.53 : 568,277.60 = 198,883.50 : x
  2. Step 2: Convert to fraction form
    378,843.53/568,277.60 = 198,883.50/x
  3. Step 3: Cross multiply
    378,843.53x = 568,277.60 × 198,883.50
  4. Step 4: Simplify right side
    378,843.53x = 113,021,038,690.06
  5. Step 5: Solve for x
    x = 113,021,038,690.06/378,843.53
  6. Step 6: Final answer
    x = 298,331.71

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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.