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Finding the Fourth Proportional to 378,265.66, 522,003.18 and 206,183.59

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Solution

The fourth proportional to 378,265.66, 522,003.18 and 206,183.59 is: 284,531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,265.66 : 522,003.18 = 206,183.59 : x
  2. Step 2: Convert to fraction form
    378,265.66/522,003.18 = 206,183.59/x
  3. Step 3: Cross multiply
    378,265.66x = 522,003.18 × 206,183.59
  4. Step 4: Simplify right side
    378,265.66x = 107,628,489,112.00
  5. Step 5: Solve for x
    x = 107,628,489,112.00/378,265.66
  6. Step 6: Final answer
    x = 284,531.48

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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.