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Finding the Fourth Proportional to 644,189.86, 965,555.79 and 327,978.82

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Solution

The fourth proportional to 644,189.86, 965,555.79 and 327,978.82 is: 491,597.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,189.86 : 965,555.79 = 327,978.82 : x
  2. Step 2: Convert to fraction form
    644,189.86/965,555.79 = 327,978.82/x
  3. Step 3: Cross multiply
    644,189.86x = 965,555.79 × 327,978.82
  4. Step 4: Simplify right side
    644,189.86x = 316,681,848,648.37
  5. Step 5: Solve for x
    x = 316,681,848,648.37/644,189.86
  6. Step 6: Final answer
    x = 491,597.07

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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.