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Finding the Fourth Proportional to 378,800.10, 522,736.08 and 206,712.36

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Solution

The fourth proportional to 378,800.10, 522,736.08 and 206,712.36 is: 285,258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,800.10 : 522,736.08 = 206,712.36 : x
  2. Step 2: Convert to fraction form
    378,800.10/522,736.08 = 206,712.36/x
  3. Step 3: Cross multiply
    378,800.10x = 522,736.08 × 206,712.36
  4. Step 4: Simplify right side
    378,800.10x = 108,056,008,753.95
  5. Step 5: Solve for x
    x = 108,056,008,753.95/378,800.10
  6. Step 6: Final answer
    x = 285,258.66

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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.