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Finding the Fourth Proportional to 285,879.92, 394,384.92 and 178,476.44

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Solution

The fourth proportional to 285,879.92, 394,384.92 and 178,476.44 is: 246,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,879.92 : 394,384.92 = 178,476.44 : x
  2. Step 2: Convert to fraction form
    285,879.92/394,384.92 = 178,476.44/x
  3. Step 3: Cross multiply
    285,879.92x = 394,384.92 × 178,476.44
  4. Step 4: Simplify right side
    285,879.92x = 70,388,416,511.28
  5. Step 5: Solve for x
    x = 70,388,416,511.28/285,879.92
  6. Step 6: Final answer
    x = 246,216.72

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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.