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Finding the Fourth Proportional to 398,871.27, 550,452.71 and 217,586.25

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Solution

The fourth proportional to 398,871.27, 550,452.71 and 217,586.25 is: 300,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,871.27 : 550,452.71 = 217,586.25 : x
  2. Step 2: Convert to fraction form
    398,871.27/550,452.71 = 217,586.25/x
  3. Step 3: Cross multiply
    398,871.27x = 550,452.71 × 217,586.25
  4. Step 4: Simplify right side
    398,871.27x = 119,770,941,515.20
  5. Step 5: Solve for x
    x = 119,770,941,515.20/398,871.27
  6. Step 6: Final answer
    x = 300,274.68

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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.