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Finding the Fourth Proportional to 287,874.54, 397,138.46 and 166,945.82

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Solution

The fourth proportional to 287,874.54, 397,138.46 and 166,945.82 is: 230,310.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,874.54 : 397,138.46 = 166,945.82 : x
  2. Step 2: Convert to fraction form
    287,874.54/397,138.46 = 166,945.82/x
  3. Step 3: Cross multiply
    287,874.54x = 397,138.46 × 166,945.82
  4. Step 4: Simplify right side
    287,874.54x = 66,300,603,037.82
  5. Step 5: Solve for x
    x = 66,300,603,037.82/287,874.54
  6. Step 6: Final answer
    x = 230,310.76

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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.