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Finding the Fourth Proportional to 378,749.09, 568,026.43 and 112,447.82

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Solution

The fourth proportional to 378,749.09, 568,026.43 and 112,447.82 is: 168,642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,749.09 : 568,026.43 = 112,447.82 : x
  2. Step 2: Convert to fraction form
    378,749.09/568,026.43 = 112,447.82/x
  3. Step 3: Cross multiply
    378,749.09x = 568,026.43 × 112,447.82
  4. Step 4: Simplify right side
    378,749.09x = 63,873,333,755.88
  5. Step 5: Solve for x
    x = 63,873,333,755.88/378,749.09
  6. Step 6: Final answer
    x = 168,642.87

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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.