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Finding the Fourth Proportional to 397,706.25, 548,743.68 and 225,583.14

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Solution

The fourth proportional to 397,706.25, 548,743.68 and 225,583.14 is: 311,253.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,706.25 : 548,743.68 = 225,583.14 : x
  2. Step 2: Convert to fraction form
    397,706.25/548,743.68 = 225,583.14/x
  3. Step 3: Cross multiply
    397,706.25x = 548,743.68 × 225,583.14
  4. Step 4: Simplify right side
    397,706.25x = 123,787,322,389.56
  5. Step 5: Solve for x
    x = 123,787,322,389.56/397,706.25
  6. Step 6: Final answer
    x = 311,253.15

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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.