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Finding the Fourth Proportional to 501,174, 691,620.26 and 274,824.36

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Solution

The fourth proportional to 501,174, 691,620.26 and 274,824.36 is: 379,257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,174 : 691,620.26 = 274,824.36 : x
  2. Step 2: Convert to fraction form
    501,174/691,620.26 = 274,824.36/x
  3. Step 3: Cross multiply
    501,174x = 691,620.26 × 274,824.36
  4. Step 4: Simplify right side
    501,174x = 190,074,093,943.41
  5. Step 5: Solve for x
    x = 190,074,093,943.41/501,174
  6. Step 6: Final answer
    x = 379,257.69

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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.