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Finding the Fourth Proportional to 378,478.22, 522,295.77 and 206,395.64

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Solution

The fourth proportional to 378,478.22, 522,295.77 and 206,395.64 is: 284,823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,478.22 : 522,295.77 = 206,395.64 : x
  2. Step 2: Convert to fraction form
    378,478.22/522,295.77 = 206,395.64/x
  3. Step 3: Cross multiply
    378,478.22x = 522,295.77 × 206,395.64
  4. Step 4: Simplify right side
    378,478.22x = 107,799,569,718.44
  5. Step 5: Solve for x
    x = 107,799,569,718.44/378,478.22
  6. Step 6: Final answer
    x = 284,823.71

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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.