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Finding the Fourth Proportional to 378,147, 567,220.49 and 259,458.51

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Solution

The fourth proportional to 378,147, 567,220.49 and 259,458.51 is: 389,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,147 : 567,220.49 = 259,458.51 : x
  2. Step 2: Convert to fraction form
    378,147/567,220.49 = 259,458.51/x
  3. Step 3: Cross multiply
    378,147x = 567,220.49 × 259,458.51
  4. Step 4: Simplify right side
    378,147x = 147,170,181,879.58
  5. Step 5: Solve for x
    x = 147,170,181,879.58/378,147
  6. Step 6: Final answer
    x = 389,187.75

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1.5x scale

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.