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Finding the Fourth Proportional to 378,832.20, 568,249.14 and 154,033.98

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Solution

The fourth proportional to 378,832.20, 568,249.14 and 154,033.98 is: 231,051.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,832.20 : 568,249.14 = 154,033.98 : x
  2. Step 2: Convert to fraction form
    378,832.20/568,249.14 = 154,033.98/x
  3. Step 3: Cross multiply
    378,832.20x = 568,249.14 × 154,033.98
  4. Step 4: Simplify right side
    378,832.20x = 87,529,676,665.78
  5. Step 5: Solve for x
    x = 87,529,676,665.78/378,832.20
  6. Step 6: Final answer
    x = 231,051.31

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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.