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Finding the Fourth Proportional to 498,824, 688,377.24 and 272,469.44

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Solution

The fourth proportional to 498,824, 688,377.24 and 272,469.44 is: 376,007.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,824 : 688,377.24 = 272,469.44 : x
  2. Step 2: Convert to fraction form
    498,824/688,377.24 = 272,469.44/x
  3. Step 3: Cross multiply
    498,824x = 688,377.24 × 272,469.44
  4. Step 4: Simplify right side
    498,824x = 187,561,761,091.55
  5. Step 5: Solve for x
    x = 187,561,761,091.55/498,824
  6. Step 6: Final answer
    x = 376,007.89

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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.