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Finding the Fourth Proportional to 378,281.92, 522,076.32 and 217,187.44

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Solution

The fourth proportional to 378,281.92, 522,076.32 and 217,187.44 is: 299,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,281.92 : 522,076.32 = 217,187.44 : x
  2. Step 2: Convert to fraction form
    378,281.92/522,076.32 = 217,187.44/x
  3. Step 3: Cross multiply
    378,281.92x = 522,076.32 × 217,187.44
  4. Step 4: Simplify right side
    378,281.92x = 113,388,419,425.42
  5. Step 5: Solve for x
    x = 113,388,419,425.42/378,281.92
  6. Step 6: Final answer
    x = 299,745.81

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1.5x scale

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.