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Finding the Fourth Proportional to 259,407.72, 389,286.60 and 101,616.48

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Solution

The fourth proportional to 259,407.72, 389,286.60 and 101,616.48 is: 152,493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,407.72 : 389,286.60 = 101,616.48 : x
  2. Step 2: Convert to fraction form
    259,407.72/389,286.60 = 101,616.48/x
  3. Step 3: Cross multiply
    259,407.72x = 389,286.60 × 101,616.48
  4. Step 4: Simplify right side
    259,407.72x = 39,557,934,003.17
  5. Step 5: Solve for x
    x = 39,557,934,003.17/259,407.72
  6. Step 6: Final answer
    x = 152,493.28

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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.