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Finding the Fourth Proportional to 378,394.61, 522,188.63 and 206,311.16

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Solution

The fourth proportional to 378,394.61, 522,188.63 and 206,311.16 is: 284,711.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,394.61 : 522,188.63 = 206,311.16 : x
  2. Step 2: Convert to fraction form
    378,394.61/522,188.63 = 206,311.16/x
  3. Step 3: Cross multiply
    378,394.61x = 522,188.63 × 206,311.16
  4. Step 4: Simplify right side
    378,394.61x = 107,733,338,351.61
  5. Step 5: Solve for x
    x = 107,733,338,351.61/378,394.61
  6. Step 6: Final answer
    x = 284,711.61

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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.