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Finding the Fourth Proportional to 397,353.06, 548,213.03 and 225,252.57

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Solution

The fourth proportional to 397,353.06, 548,213.03 and 225,252.57 is: 310,772.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,353.06 : 548,213.03 = 225,252.57 : x
  2. Step 2: Convert to fraction form
    397,353.06/548,213.03 = 225,252.57/x
  3. Step 3: Cross multiply
    397,353.06x = 548,213.03 × 225,252.57
  4. Step 4: Simplify right side
    397,353.06x = 123,486,392,788.72
  5. Step 5: Solve for x
    x = 123,486,392,788.72/397,353.06
  6. Step 6: Final answer
    x = 310,772.47

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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.