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Finding the Fourth Proportional to 378,797.42, 522,829.91 and 217,745.90

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Solution

The fourth proportional to 378,797.42, 522,829.91 and 217,745.90 is: 300,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,797.42 : 522,829.91 = 217,745.90 : x
  2. Step 2: Convert to fraction form
    378,797.42/522,829.91 = 217,745.90/x
  3. Step 3: Cross multiply
    378,797.42x = 522,829.91 × 217,745.90
  4. Step 4: Simplify right side
    378,797.42x = 113,844,068,211.14
  5. Step 5: Solve for x
    x = 113,844,068,211.14/378,797.42
  6. Step 6: Final answer
    x = 300,540.77

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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.