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Finding the Fourth Proportional to 378,079.82, 567,175.76 and 121,826.54

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Solution

The fourth proportional to 378,079.82, 567,175.76 and 121,826.54 is: 182,757.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,079.82 : 567,175.76 = 121,826.54 : x
  2. Step 2: Convert to fraction form
    378,079.82/567,175.76 = 121,826.54/x
  3. Step 3: Cross multiply
    378,079.82x = 567,175.76 × 121,826.54
  4. Step 4: Simplify right side
    378,079.82x = 69,097,060,412.67
  5. Step 5: Solve for x
    x = 69,097,060,412.67/378,079.82
  6. Step 6: Final answer
    x = 182,757.86

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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.