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Finding the Fourth Proportional to 361,198.64, 498,457.86 and 217,931

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Solution

The fourth proportional to 361,198.64, 498,457.86 and 217,931 is: 300,747.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,198.64 : 498,457.86 = 217,931 : x
  2. Step 2: Convert to fraction form
    361,198.64/498,457.86 = 217,931/x
  3. Step 3: Cross multiply
    361,198.64x = 498,457.86 × 217,931
  4. Step 4: Simplify right side
    361,198.64x = 108,629,419,887.66
  5. Step 5: Solve for x
    x = 108,629,419,887.66/361,198.64
  6. Step 6: Final answer
    x = 300,747.03

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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.