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Finding the Fourth Proportional to 417,625, 576,322.91 and 226,638.43

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Solution

The fourth proportional to 417,625, 576,322.91 and 226,638.43 is: 312,761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,625 : 576,322.91 = 226,638.43 : x
  2. Step 2: Convert to fraction form
    417,625/576,322.91 = 226,638.43/x
  3. Step 3: Cross multiply
    417,625x = 576,322.91 × 226,638.43
  4. Step 4: Simplify right side
    417,625x = 130,616,919,495.43
  5. Step 5: Solve for x
    x = 130,616,919,495.43/417,625
  6. Step 6: Final answer
    x = 312,761.26

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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.