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Finding the Fourth Proportional to 274,326.84, 411,448.67 and 74,662.78

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Solution

The fourth proportional to 274,326.84, 411,448.67 and 74,662.78 is: 111,982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,326.84 : 411,448.67 = 74,662.78 : x
  2. Step 2: Convert to fraction form
    274,326.84/411,448.67 = 74,662.78/x
  3. Step 3: Cross multiply
    274,326.84x = 411,448.67 × 74,662.78
  4. Step 4: Simplify right side
    274,326.84x = 30,719,901,529.50
  5. Step 5: Solve for x
    x = 30,719,901,529.50/274,326.84
  6. Step 6: Final answer
    x = 111,982.85

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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.