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Finding the Fourth Proportional to 295,813.09, 408,221.91 and 159,847

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Solution

The fourth proportional to 295,813.09, 408,221.91 and 159,847 is: 220,588.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,813.09 : 408,221.91 = 159,847 : x
  2. Step 2: Convert to fraction form
    295,813.09/408,221.91 = 159,847/x
  3. Step 3: Cross multiply
    295,813.09x = 408,221.91 × 159,847
  4. Step 4: Simplify right side
    295,813.09x = 65,253,047,647.77
  5. Step 5: Solve for x
    x = 65,253,047,647.77/295,813.09
  6. Step 6: Final answer
    x = 220,588.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.