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Finding the Fourth Proportional to 278,236.56, 383,964.56 and 150,912.28

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Solution

The fourth proportional to 278,236.56, 383,964.56 and 150,912.28 is: 208,257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,236.56 : 383,964.56 = 150,912.28 : x
  2. Step 2: Convert to fraction form
    278,236.56/383,964.56 = 150,912.28/x
  3. Step 3: Cross multiply
    278,236.56x = 383,964.56 × 150,912.28
  4. Step 4: Simplify right side
    278,236.56x = 57,944,967,188.80
  5. Step 5: Solve for x
    x = 57,944,967,188.80/278,236.56
  6. Step 6: Final answer
    x = 208,257.92

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1.5x scale

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.