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Finding the Fourth Proportional to 259,694.48, 389,210.04 and 147,291.92

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Solution

The fourth proportional to 259,694.48, 389,210.04 and 147,291.92 is: 220,749.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,694.48 : 389,210.04 = 147,291.92 : x
  2. Step 2: Convert to fraction form
    259,694.48/389,210.04 = 147,291.92/x
  3. Step 3: Cross multiply
    259,694.48x = 389,210.04 × 147,291.92
  4. Step 4: Simplify right side
    259,694.48x = 57,327,494,074.88
  5. Step 5: Solve for x
    x = 57,327,494,074.88/259,694.48
  6. Step 6: Final answer
    x = 220,749.76

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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.