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Finding the Fourth Proportional to 398,864.50, 550,440.71 and 217,583.09

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Solution

The fourth proportional to 398,864.50, 550,440.71 and 217,583.09 is: 300,268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,864.50 : 550,440.71 = 217,583.09 : x
  2. Step 2: Convert to fraction form
    398,864.50/550,440.71 = 217,583.09/x
  3. Step 3: Cross multiply
    398,864.50x = 550,440.71 × 217,583.09
  4. Step 4: Simplify right side
    398,864.50x = 119,766,589,583.56
  5. Step 5: Solve for x
    x = 119,766,589,583.56/398,864.50
  6. Step 6: Final answer
    x = 300,268.86

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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.