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Finding the Fourth Proportional to 378,879.45, 522,851.11 and 209,113.57

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Solution

The fourth proportional to 378,879.45, 522,851.11 and 209,113.57 is: 288,575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,879.45 : 522,851.11 = 209,113.57 : x
  2. Step 2: Convert to fraction form
    378,879.45/522,851.11 = 209,113.57/x
  3. Step 3: Cross multiply
    378,879.45x = 522,851.11 × 209,113.57
  4. Step 4: Simplify right side
    378,879.45x = 109,335,262,190.56
  5. Step 5: Solve for x
    x = 109,335,262,190.56/378,879.45
  6. Step 6: Final answer
    x = 288,575.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.