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Finding the Fourth Proportional to 361,197.64, 498,456.48 and 217,930

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Solution

The fourth proportional to 361,197.64, 498,456.48 and 217,930 is: 300,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,197.64 : 498,456.48 = 217,930 : x
  2. Step 2: Convert to fraction form
    361,197.64/498,456.48 = 217,930/x
  3. Step 3: Cross multiply
    361,197.64x = 498,456.48 × 217,930
  4. Step 4: Simplify right side
    361,197.64x = 108,628,620,686.40
  5. Step 5: Solve for x
    x = 108,628,620,686.40/361,197.64
  6. Step 6: Final answer
    x = 300,745.65

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1.5x scale

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.