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Finding the Fourth Proportional to 274,557.86, 378,814.83 and 188,542.70

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Solution

The fourth proportional to 274,557.86, 378,814.83 and 188,542.70 is: 260,137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,557.86 : 378,814.83 = 188,542.70 : x
  2. Step 2: Convert to fraction form
    274,557.86/378,814.83 = 188,542.70/x
  3. Step 3: Cross multiply
    274,557.86x = 378,814.83 × 188,542.70
  4. Step 4: Simplify right side
    274,557.86x = 71,422,770,848.24
  5. Step 5: Solve for x
    x = 71,422,770,848.24/274,557.86
  6. Step 6: Final answer
    x = 260,137.41

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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.