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Finding the Fourth Proportional to 274,538.19, 411,710.80 and 82,355.31

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Solution

The fourth proportional to 274,538.19, 411,710.80 and 82,355.31 is: 123,504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,538.19 : 411,710.80 = 82,355.31 : x
  2. Step 2: Convert to fraction form
    274,538.19/411,710.80 = 82,355.31/x
  3. Step 3: Cross multiply
    274,538.19x = 411,710.80 × 82,355.31
  4. Step 4: Simplify right side
    274,538.19x = 33,906,569,354.94
  5. Step 5: Solve for x
    x = 33,906,569,354.94/274,538.19
  6. Step 6: Final answer
    x = 123,504.02

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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.