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Finding the Fourth Proportional to 431,429.78, 647,144.68 and 131,910.36

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Solution

The fourth proportional to 431,429.78, 647,144.68 and 131,910.36 is: 197,865.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,429.78 : 647,144.68 = 131,910.36 : x
  2. Step 2: Convert to fraction form
    431,429.78/647,144.68 = 131,910.36/x
  3. Step 3: Cross multiply
    431,429.78x = 647,144.68 × 131,910.36
  4. Step 4: Simplify right side
    431,429.78x = 85,365,087,710.88
  5. Step 5: Solve for x
    x = 85,365,087,710.88/431,429.78
  6. Step 6: Final answer
    x = 197,865.54

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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.