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Finding the Fourth Proportional to 408,902.02, 613,615.47 and 198,425.14

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Solution

The fourth proportional to 408,902.02, 613,615.47 and 198,425.14 is: 297,765.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,902.02 : 613,615.47 = 198,425.14 : x
  2. Step 2: Convert to fraction form
    408,902.02/613,615.47 = 198,425.14/x
  3. Step 3: Cross multiply
    408,902.02x = 613,615.47 × 198,425.14
  4. Step 4: Simplify right side
    408,902.02x = 121,756,735,540.92
  5. Step 5: Solve for x
    x = 121,756,735,540.92/408,902.02
  6. Step 6: Final answer
    x = 297,765.06

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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.