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Finding the Fourth Proportional to 378,906.89, 522,904.16 and 206,835.05

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Solution

The fourth proportional to 378,906.89, 522,904.16 and 206,835.05 is: 285,439.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,906.89 : 522,904.16 = 206,835.05 : x
  2. Step 2: Convert to fraction form
    378,906.89/522,904.16 = 206,835.05/x
  3. Step 3: Cross multiply
    378,906.89x = 522,904.16 × 206,835.05
  4. Step 4: Simplify right side
    378,906.89x = 108,154,904,430.11
  5. Step 5: Solve for x
    x = 108,154,904,430.11/378,906.89
  6. Step 6: Final answer
    x = 285,439.27

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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.