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Finding the Fourth Proportional to 643,463.96, 965,202.83 and 194,188.85

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Solution

The fourth proportional to 643,463.96, 965,202.83 and 194,188.85 is: 291,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,463.96 : 965,202.83 = 194,188.85 : x
  2. Step 2: Convert to fraction form
    643,463.96/965,202.83 = 194,188.85/x
  3. Step 3: Cross multiply
    643,463.96x = 965,202.83 × 194,188.85
  4. Step 4: Simplify right side
    643,463.96x = 187,431,629,016.51
  5. Step 5: Solve for x
    x = 187,431,629,016.51/643,463.96
  6. Step 6: Final answer
    x = 291,285.36

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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.