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Finding the Fourth Proportional to 398,923.56, 550,513.71 and 217,635.48

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Solution

The fourth proportional to 398,923.56, 550,513.71 and 217,635.48 is: 300,336.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,923.56 : 550,513.71 = 217,635.48 : x
  2. Step 2: Convert to fraction form
    398,923.56/550,513.71 = 217,635.48/x
  3. Step 3: Cross multiply
    398,923.56x = 550,513.71 × 217,635.48
  4. Step 4: Simplify right side
    398,923.56x = 119,811,315,522.43
  5. Step 5: Solve for x
    x = 119,811,315,522.43/398,923.56
  6. Step 6: Final answer
    x = 300,336.52

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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.