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Finding the Fourth Proportional to 399,418, 551,201.25 and 218,135.27

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Solution

The fourth proportional to 399,418, 551,201.25 and 218,135.27 is: 301,029.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,418 : 551,201.25 = 218,135.27 : x
  2. Step 2: Convert to fraction form
    399,418/551,201.25 = 218,135.27/x
  3. Step 3: Cross multiply
    399,418x = 551,201.25 × 218,135.27
  4. Step 4: Simplify right side
    399,418x = 120,236,433,493.09
  5. Step 5: Solve for x
    x = 120,236,433,493.09/399,418
  6. Step 6: Final answer
    x = 301,029.08

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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.