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Finding the Fourth Proportional to 378,753.72, 522,682.92 and 208,993.92

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Solution

The fourth proportional to 378,753.72, 522,682.92 and 208,993.92 is: 288,413.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,753.72 : 522,682.92 = 208,993.92 : x
  2. Step 2: Convert to fraction form
    378,753.72/522,682.92 = 208,993.92/x
  3. Step 3: Cross multiply
    378,753.72x = 522,682.92 × 208,993.92
  4. Step 4: Simplify right side
    378,753.72x = 109,237,552,367.85
  5. Step 5: Solve for x
    x = 109,237,552,367.85/378,753.72
  6. Step 6: Final answer
    x = 288,413.15

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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.