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Finding the Fourth Proportional to 378,907.81, 522,905.43 and 206,835.97

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Solution

The fourth proportional to 378,907.81, 522,905.43 and 206,835.97 is: 285,440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,907.81 : 522,905.43 = 206,835.97 : x
  2. Step 2: Convert to fraction form
    378,907.81/522,905.43 = 206,835.97/x
  3. Step 3: Cross multiply
    378,907.81x = 522,905.43 × 206,835.97
  4. Step 4: Simplify right side
    378,907.81x = 108,155,649,217.79
  5. Step 5: Solve for x
    x = 108,155,649,217.79/378,907.81
  6. Step 6: Final answer
    x = 285,440.54

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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.