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Finding the Fourth Proportional to 408,190.21, 612,286.63 and 123,883.18

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Solution

The fourth proportional to 408,190.21, 612,286.63 and 123,883.18 is: 185,825.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,190.21 : 612,286.63 = 123,883.18 : x
  2. Step 2: Convert to fraction form
    408,190.21/612,286.63 = 123,883.18/x
  3. Step 3: Cross multiply
    408,190.21x = 612,286.63 × 123,883.18
  4. Step 4: Simplify right side
    408,190.21x = 75,852,014,795.88
  5. Step 5: Solve for x
    x = 75,852,014,795.88/408,190.21
  6. Step 6: Final answer
    x = 185,825.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.