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Finding the Fourth Proportional to 397,257.77, 548,204.30 and 225,191.64

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Solution

The fourth proportional to 397,257.77, 548,204.30 and 225,191.64 is: 310,758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,257.77 : 548,204.30 = 225,191.64 : x
  2. Step 2: Convert to fraction form
    397,257.77/548,204.30 = 225,191.64/x
  3. Step 3: Cross multiply
    397,257.77x = 548,204.30 × 225,191.64
  4. Step 4: Simplify right side
    397,257.77x = 123,451,028,413.03
  5. Step 5: Solve for x
    x = 123,451,028,413.03/397,257.77
  6. Step 6: Final answer
    x = 310,758.00

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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.