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Finding the Fourth Proportional to 204,800, 307,200 and 49,152

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Solution

The fourth proportional to 204,800, 307,200 and 49,152 is: 73,728

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,800 : 307,200 = 49,152 : x
  2. Step 2: Convert to fraction form
    204,800/307,200 = 49,152/x
  3. Step 3: Cross multiply
    204,800x = 307,200 × 49,152
  4. Step 4: Simplify right side
    204,800x = 15,099,494,400
  5. Step 5: Solve for x
    x = 15,099,494,400/204,800
  6. Step 6: Final answer
    x = 73,728

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.