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Finding the Fourth Proportional to 643,731.70, 965,687.76 and 194,401.60

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Solution

The fourth proportional to 643,731.70, 965,687.76 and 194,401.60 is: 291,629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,731.70 : 965,687.76 = 194,401.60 : x
  2. Step 2: Convert to fraction form
    643,731.70/965,687.76 = 194,401.60/x
  3. Step 3: Cross multiply
    643,731.70x = 965,687.76 × 194,401.60
  4. Step 4: Simplify right side
    643,731.70x = 187,731,245,644.42
  5. Step 5: Solve for x
    x = 187,731,245,644.42/643,731.70
  6. Step 6: Final answer
    x = 291,629.64

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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.