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Finding the Fourth Proportional to 548,912.28, 823,319.80 and 193,908.72

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Solution

The fourth proportional to 548,912.28, 823,319.80 and 193,908.72 is: 290,845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,912.28 : 823,319.80 = 193,908.72 : x
  2. Step 2: Convert to fraction form
    548,912.28/823,319.80 = 193,908.72/x
  3. Step 3: Cross multiply
    548,912.28x = 823,319.80 × 193,908.72
  4. Step 4: Simplify right side
    548,912.28x = 159,648,888,568.66
  5. Step 5: Solve for x
    x = 159,648,888,568.66/548,912.28
  6. Step 6: Final answer
    x = 290,845.90

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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.