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Finding the Fourth Proportional to 259,616.80, 389,741.10 and 164,846.80

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Solution

The fourth proportional to 259,616.80, 389,741.10 and 164,846.80 is: 247,470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,616.80 : 389,741.10 = 164,846.80 : x
  2. Step 2: Convert to fraction form
    259,616.80/389,741.10 = 164,846.80/x
  3. Step 3: Cross multiply
    259,616.80x = 389,741.10 × 164,846.80
  4. Step 4: Simplify right side
    259,616.80x = 64,247,573,163.48
  5. Step 5: Solve for x
    x = 64,247,573,163.48/259,616.80
  6. Step 6: Final answer
    x = 247,470.78

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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.