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Finding the Fourth Proportional to 408,380.13, 612,745.56 and 141,995.43

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Solution

The fourth proportional to 408,380.13, 612,745.56 and 141,995.43 is: 213,054.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,380.13 : 612,745.56 = 141,995.43 : x
  2. Step 2: Convert to fraction form
    408,380.13/612,745.56 = 141,995.43/x
  3. Step 3: Cross multiply
    408,380.13x = 612,745.56 × 141,995.43
  4. Step 4: Simplify right side
    408,380.13x = 87,007,069,272.79
  5. Step 5: Solve for x
    x = 87,007,069,272.79/408,380.13
  6. Step 6: Final answer
    x = 213,054.12

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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.