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Finding the Fourth Proportional to 378,279.46, 522,022.51 and 206,194.29

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Solution

The fourth proportional to 378,279.46, 522,022.51 and 206,194.29 is: 284,546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,279.46 : 522,022.51 = 206,194.29 : x
  2. Step 2: Convert to fraction form
    378,279.46/522,022.51 = 206,194.29/x
  3. Step 3: Cross multiply
    378,279.46x = 522,022.51 × 206,194.29
  4. Step 4: Simplify right side
    378,279.46x = 107,638,060,813.47
  5. Step 5: Solve for x
    x = 107,638,060,813.47/378,279.46
  6. Step 6: Final answer
    x = 284,546.41

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1.5x scale

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.