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Finding the Fourth Proportional to 378,906.90, 522,889.02 and 206,824.18

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Solution

The fourth proportional to 378,906.90, 522,889.02 and 206,824.18 is: 285,416.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,906.90 : 522,889.02 = 206,824.18 : x
  2. Step 2: Convert to fraction form
    378,906.90/522,889.02 = 206,824.18/x
  3. Step 3: Cross multiply
    378,906.90x = 522,889.02 × 206,824.18
  4. Step 4: Simplify right side
    378,906.90x = 108,146,092,792.50
  5. Step 5: Solve for x
    x = 108,146,092,792.50/378,906.90
  6. Step 6: Final answer
    x = 285,416.00

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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.