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Finding the Fourth Proportional to 361,963.64, 499,523.17 and 218,696

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Solution

The fourth proportional to 361,963.64, 499,523.17 and 218,696 is: 301,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,963.64 : 499,523.17 = 218,696 : x
  2. Step 2: Convert to fraction form
    361,963.64/499,523.17 = 218,696/x
  3. Step 3: Cross multiply
    361,963.64x = 499,523.17 × 218,696
  4. Step 4: Simplify right side
    361,963.64x = 109,243,719,186.32
  5. Step 5: Solve for x
    x = 109,243,719,186.32/361,963.64
  6. Step 6: Final answer
    x = 301,808.54

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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.