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Finding the Fourth Proportional to 378,398.16, 522,188.82 and 208,632.78

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Solution

The fourth proportional to 378,398.16, 522,188.82 and 208,632.78 is: 287,912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,398.16 : 522,188.82 = 208,632.78 : x
  2. Step 2: Convert to fraction form
    378,398.16/522,188.82 = 208,632.78/x
  3. Step 3: Cross multiply
    378,398.16x = 522,188.82 × 208,632.78
  4. Step 4: Simplify right side
    378,398.16x = 108,945,705,201.52
  5. Step 5: Solve for x
    x = 108,945,705,201.52/378,398.16
  6. Step 6: Final answer
    x = 287,912.88

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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.