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Finding the Fourth Proportional to 288,949.50, 398,750.32 and 188,347.50

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Solution

The fourth proportional to 288,949.50, 398,750.32 and 188,347.50 is: 259,919.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,949.50 : 398,750.32 = 188,347.50 : x
  2. Step 2: Convert to fraction form
    288,949.50/398,750.32 = 188,347.50/x
  3. Step 3: Cross multiply
    288,949.50x = 398,750.32 × 188,347.50
  4. Step 4: Simplify right side
    288,949.50x = 75,103,625,896.20
  5. Step 5: Solve for x
    x = 75,103,625,896.20/288,949.50
  6. Step 6: Final answer
    x = 259,919.56

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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.