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Finding the Fourth Proportional to 378,772.96, 568,376.52 and 154,091.92

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Solution

The fourth proportional to 378,772.96, 568,376.52 and 154,091.92 is: 231,226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,772.96 : 568,376.52 = 154,091.92 : x
  2. Step 2: Convert to fraction form
    378,772.96/568,376.52 = 154,091.92/x
  3. Step 3: Cross multiply
    378,772.96x = 568,376.52 × 154,091.92
  4. Step 4: Simplify right side
    378,772.96x = 87,582,229,249.72
  5. Step 5: Solve for x
    x = 87,582,229,249.72/378,772.96
  6. Step 6: Final answer
    x = 231,226.19

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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.