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Finding the Fourth Proportional to 378,907.31, 522,904.74 and 206,835.47

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Solution

The fourth proportional to 378,907.31, 522,904.74 and 206,835.47 is: 285,439.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,907.31 : 522,904.74 = 206,835.47 : x
  2. Step 2: Convert to fraction form
    378,907.31/522,904.74 = 206,835.47/x
  3. Step 3: Cross multiply
    378,907.31x = 522,904.74 × 206,835.47
  4. Step 4: Simplify right side
    378,907.31x = 108,155,245,048.60
  5. Step 5: Solve for x
    x = 108,155,245,048.60/378,907.31
  6. Step 6: Final answer
    x = 285,439.85

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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.