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Finding the Fourth Proportional to 274,558.70, 411,838.05 and 212,273.90

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Solution

The fourth proportional to 274,558.70, 411,838.05 and 212,273.90 is: 318,410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,558.70 : 411,838.05 = 212,273.90 : x
  2. Step 2: Convert to fraction form
    274,558.70/411,838.05 = 212,273.90/x
  3. Step 3: Cross multiply
    274,558.70x = 411,838.05 × 212,273.90
  4. Step 4: Simplify right side
    274,558.70x = 87,422,469,041.90
  5. Step 5: Solve for x
    x = 87,422,469,041.90/274,558.70
  6. Step 6: Final answer
    x = 318,410.85

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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.