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Finding the Fourth Proportional to 431,519.22, 647,255.53 and 131,999.84

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Solution

The fourth proportional to 431,519.22, 647,255.53 and 131,999.84 is: 197,992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,519.22 : 647,255.53 = 131,999.84 : x
  2. Step 2: Convert to fraction form
    431,519.22/647,255.53 = 131,999.84/x
  3. Step 3: Cross multiply
    431,519.22x = 647,255.53 × 131,999.84
  4. Step 4: Simplify right side
    431,519.22x = 85,437,624,305.89
  5. Step 5: Solve for x
    x = 85,437,624,305.89/431,519.22
  6. Step 6: Final answer
    x = 197,992.63

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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.