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Finding the Fourth Proportional to 288,906, 398,745.36 and 193,578.96

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Solution

The fourth proportional to 288,906, 398,745.36 and 193,578.96 is: 267,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,906 : 398,745.36 = 193,578.96 : x
  2. Step 2: Convert to fraction form
    288,906/398,745.36 = 193,578.96/x
  3. Step 3: Cross multiply
    288,906x = 398,745.36 × 193,578.96
  4. Step 4: Simplify right side
    288,906x = 77,188,712,093.63
  5. Step 5: Solve for x
    x = 77,188,712,093.63/288,906
  6. Step 6: Final answer
    x = 267,175.87

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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.