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Finding the Fourth Proportional to 399,858.17, 551,446.97 and 331,767.32

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Solution

The fourth proportional to 399,858.17, 551,446.97 and 331,767.32 is: 457,542.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,858.17 : 551,446.97 = 331,767.32 : x
  2. Step 2: Convert to fraction form
    399,858.17/551,446.97 = 331,767.32/x
  3. Step 3: Cross multiply
    399,858.17x = 551,446.97 × 331,767.32
  4. Step 4: Simplify right side
    399,858.17x = 182,952,078,942.95
  5. Step 5: Solve for x
    x = 182,952,078,942.95/399,858.17
  6. Step 6: Final answer
    x = 457,542.44

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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.