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Finding the Fourth Proportional to 378,078.75, 567,201.17 and 111,818.51

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Solution

The fourth proportional to 378,078.75, 567,201.17 and 111,818.51 is: 167,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,078.75 : 567,201.17 = 111,818.51 : x
  2. Step 2: Convert to fraction form
    378,078.75/567,201.17 = 111,818.51/x
  3. Step 3: Cross multiply
    378,078.75x = 567,201.17 × 111,818.51
  4. Step 4: Simplify right side
    378,078.75x = 63,423,589,699.66
  5. Step 5: Solve for x
    x = 63,423,589,699.66/378,078.75
  6. Step 6: Final answer
    x = 167,752.33

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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.