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Finding the Fourth Proportional to 259,778.34, 389,820.60 and 165,004.56

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Solution

The fourth proportional to 259,778.34, 389,820.60 and 165,004.56 is: 247,604.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,778.34 : 389,820.60 = 165,004.56 : x
  2. Step 2: Convert to fraction form
    259,778.34/389,820.60 = 165,004.56/x
  3. Step 3: Cross multiply
    259,778.34x = 389,820.60 × 165,004.56
  4. Step 4: Simplify right side
    259,778.34x = 64,322,176,581.94
  5. Step 5: Solve for x
    x = 64,322,176,581.94/259,778.34
  6. Step 6: Final answer
    x = 247,604.08

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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.