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Finding the Fourth Proportional to 378,173.69, 521,879.78 and 206,091.69

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Solution

The fourth proportional to 378,173.69, 521,879.78 and 206,091.69 is: 284,406.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,173.69 : 521,879.78 = 206,091.69 : x
  2. Step 2: Convert to fraction form
    378,173.69/521,879.78 = 206,091.69/x
  3. Step 3: Cross multiply
    378,173.69x = 521,879.78 × 206,091.69
  4. Step 4: Simplify right side
    378,173.69x = 107,555,086,352.26
  5. Step 5: Solve for x
    x = 107,555,086,352.26/378,173.69
  6. Step 6: Final answer
    x = 284,406.58

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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.