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Finding the Fourth Proportional to 408,189.21, 612,285.13 and 123,882.18

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Solution

The fourth proportional to 408,189.21, 612,285.13 and 123,882.18 is: 185,823.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,189.21 : 612,285.13 = 123,882.18 : x
  2. Step 2: Convert to fraction form
    408,189.21/612,285.13 = 123,882.18/x
  3. Step 3: Cross multiply
    408,189.21x = 612,285.13 × 123,882.18
  4. Step 4: Simplify right side
    408,189.21x = 75,851,213,847.93
  5. Step 5: Solve for x
    x = 75,851,213,847.93/408,189.21
  6. Step 6: Final answer
    x = 185,823.66

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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.