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Finding the Fourth Proportional to 279,415.49, 419,185.73 and 101,922.51

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Solution

The fourth proportional to 279,415.49, 419,185.73 and 101,922.51 is: 152,906.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,415.49 : 419,185.73 = 101,922.51 : x
  2. Step 2: Convert to fraction form
    279,415.49/419,185.73 = 101,922.51/x
  3. Step 3: Cross multiply
    279,415.49x = 419,185.73 × 101,922.51
  4. Step 4: Simplify right side
    279,415.49x = 42,724,461,757.78
  5. Step 5: Solve for x
    x = 42,724,461,757.78/279,415.49
  6. Step 6: Final answer
    x = 152,906.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.