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Finding the Fourth Proportional to 431,383.56, 647,076.93 and 131,862.98

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Solution

The fourth proportional to 431,383.56, 647,076.93 and 131,862.98 is: 197,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,383.56 : 647,076.93 = 131,862.98 : x
  2. Step 2: Convert to fraction form
    431,383.56/647,076.93 = 131,862.98/x
  3. Step 3: Cross multiply
    431,383.56x = 647,076.93 × 131,862.98
  4. Step 4: Simplify right side
    431,383.56x = 85,325,489,043.67
  5. Step 5: Solve for x
    x = 85,325,489,043.67/431,383.56
  6. Step 6: Final answer
    x = 197,794.95

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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.