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Finding the Fourth Proportional to 378,486.07, 567,761.91 and 138,665.12

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Solution

The fourth proportional to 378,486.07, 567,761.91 and 138,665.12 is: 208,009.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,486.07 : 567,761.91 = 138,665.12 : x
  2. Step 2: Convert to fraction form
    378,486.07/567,761.91 = 138,665.12/x
  3. Step 3: Cross multiply
    378,486.07x = 567,761.91 × 138,665.12
  4. Step 4: Simplify right side
    378,486.07x = 78,728,770,022.78
  5. Step 5: Solve for x
    x = 78,728,770,022.78/378,486.07
  6. Step 6: Final answer
    x = 208,009.69

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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.