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Finding the Fourth Proportional to 378,344.30, 522,098.90 and 206,258.07

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Solution

The fourth proportional to 378,344.30, 522,098.90 and 206,258.07 is: 284,627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,344.30 : 522,098.90 = 206,258.07 : x
  2. Step 2: Convert to fraction form
    378,344.30/522,098.90 = 206,258.07/x
  3. Step 3: Cross multiply
    378,344.30x = 522,098.90 × 206,258.07
  4. Step 4: Simplify right side
    378,344.30x = 107,687,113,163.17
  5. Step 5: Solve for x
    x = 107,687,113,163.17/378,344.30
  6. Step 6: Final answer
    x = 284,627.29

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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.