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Finding the Fourth Proportional to 279,791.84, 419,628.88 and 102,382.56

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Solution

The fourth proportional to 279,791.84, 419,628.88 and 102,382.56 is: 153,552.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,791.84 : 419,628.88 = 102,382.56 : x
  2. Step 2: Convert to fraction form
    279,791.84/419,628.88 = 102,382.56/x
  3. Step 3: Cross multiply
    279,791.84x = 419,628.88 × 102,382.56
  4. Step 4: Simplify right side
    279,791.84x = 42,962,678,984.33
  5. Step 5: Solve for x
    x = 42,962,678,984.33/279,791.84
  6. Step 6: Final answer
    x = 153,552.29

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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.