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Finding the Fourth Proportional to 378,805.32, 522,762.36 and 206,734.35

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Solution

The fourth proportional to 378,805.32, 522,762.36 and 206,734.35 is: 285,299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,805.32 : 522,762.36 = 206,734.35 : x
  2. Step 2: Convert to fraction form
    378,805.32/522,762.36 = 206,734.35/x
  3. Step 3: Cross multiply
    378,805.32x = 522,762.36 × 206,734.35
  4. Step 4: Simplify right side
    378,805.32x = 108,072,936,413.90
  5. Step 5: Solve for x
    x = 108,072,936,413.90/378,805.32
  6. Step 6: Final answer
    x = 285,299.42

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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.