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Finding the Fourth Proportional to 501,019.36, 691,450.32 and 274,708.96

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Solution

The fourth proportional to 501,019.36, 691,450.32 and 274,708.96 is: 379,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,019.36 : 691,450.32 = 274,708.96 : x
  2. Step 2: Convert to fraction form
    501,019.36/691,450.32 = 274,708.96/x
  3. Step 3: Cross multiply
    501,019.36x = 691,450.32 × 274,708.96
  4. Step 4: Simplify right side
    501,019.36x = 189,947,598,298.87
  5. Step 5: Solve for x
    x = 189,947,598,298.87/501,019.36
  6. Step 6: Final answer
    x = 379,122.27

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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.