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Finding the Fourth Proportional to 260,147.68, 390,215.44 and 119,906.30

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Solution

The fourth proportional to 260,147.68, 390,215.44 and 119,906.30 is: 179,856.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,147.68 : 390,215.44 = 119,906.30 : x
  2. Step 2: Convert to fraction form
    260,147.68/390,215.44 = 119,906.30/x
  3. Step 3: Cross multiply
    260,147.68x = 390,215.44 × 119,906.30
  4. Step 4: Simplify right side
    260,147.68x = 46,789,290,738.69
  5. Step 5: Solve for x
    x = 46,789,290,738.69/260,147.68
  6. Step 6: Final answer
    x = 179,856.65

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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.