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Finding the Fourth Proportional to 278,270.53, 417,471.32 and 221,558.92

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Solution

The fourth proportional to 278,270.53, 417,471.32 and 221,558.92 is: 332,390.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,270.53 : 417,471.32 = 221,558.92 : x
  2. Step 2: Convert to fraction form
    278,270.53/417,471.32 = 221,558.92/x
  3. Step 3: Cross multiply
    278,270.53x = 417,471.32 × 221,558.92
  4. Step 4: Simplify right side
    278,270.53x = 92,494,494,790.17
  5. Step 5: Solve for x
    x = 92,494,494,790.17/278,270.53
  6. Step 6: Final answer
    x = 332,390.55

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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.