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Finding the Fourth Proportional to 288,944.50, 398,743.41 and 188,342.50

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Solution

The fourth proportional to 288,944.50, 398,743.41 and 188,342.50 is: 259,912.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,944.50 : 398,743.41 = 188,342.50 : x
  2. Step 2: Convert to fraction form
    288,944.50/398,743.41 = 188,342.50/x
  3. Step 3: Cross multiply
    288,944.50x = 398,743.41 × 188,342.50
  4. Step 4: Simplify right side
    288,944.50x = 75,100,330,697.93
  5. Step 5: Solve for x
    x = 75,100,330,697.93/288,944.50
  6. Step 6: Final answer
    x = 259,912.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.