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Finding the Fourth Proportional to 378,067.80, 567,101.70 and 315,859.80

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Solution

The fourth proportional to 378,067.80, 567,101.70 and 315,859.80 is: 473,789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,067.80 : 567,101.70 = 315,859.80 : x
  2. Step 2: Convert to fraction form
    378,067.80/567,101.70 = 315,859.80/x
  3. Step 3: Cross multiply
    378,067.80x = 567,101.70 × 315,859.80
  4. Step 4: Simplify right side
    378,067.80x = 179,124,629,541.66
  5. Step 5: Solve for x
    x = 179,124,629,541.66/378,067.80
  6. Step 6: Final answer
    x = 473,789.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.