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Finding the Fourth Proportional to 550,385.49, 825,660.26 and 195,369.78

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Solution

The fourth proportional to 550,385.49, 825,660.26 and 195,369.78 is: 293,083.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,385.49 : 825,660.26 = 195,369.78 : x
  2. Step 2: Convert to fraction form
    550,385.49/825,660.26 = 195,369.78/x
  3. Step 3: Cross multiply
    550,385.49x = 825,660.26 × 195,369.78
  4. Step 4: Simplify right side
    550,385.49x = 161,309,066,202.96
  5. Step 5: Solve for x
    x = 161,309,066,202.96/550,385.49
  6. Step 6: Final answer
    x = 293,083.79

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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.