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Finding the Fourth Proportional to 501,138, 691,570.49 and 274,788.36

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Solution

The fourth proportional to 501,138, 691,570.49 and 274,788.36 is: 379,207.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,138 : 691,570.49 = 274,788.36 : x
  2. Step 2: Convert to fraction form
    501,138/691,570.49 = 274,788.36/x
  3. Step 3: Cross multiply
    501,138x = 691,570.49 × 274,788.36
  4. Step 4: Simplify right side
    501,138x = 190,035,519,397.56
  5. Step 5: Solve for x
    x = 190,035,519,397.56/501,138
  6. Step 6: Final answer
    x = 379,207.96

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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.