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Finding the Fourth Proportional to 408,104.39, 612,158.01 and 123,797.40

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Solution

The fourth proportional to 408,104.39, 612,158.01 and 123,797.40 is: 185,696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,104.39 : 612,158.01 = 123,797.40 : x
  2. Step 2: Convert to fraction form
    408,104.39/612,158.01 = 123,797.40/x
  3. Step 3: Cross multiply
    408,104.39x = 612,158.01 × 123,797.40
  4. Step 4: Simplify right side
    408,104.39x = 75,783,567,267.34
  5. Step 5: Solve for x
    x = 75,783,567,267.34/408,104.39
  6. Step 6: Final answer
    x = 185,696.52

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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.