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Finding the Fourth Proportional to 274,545, 411,721.02 and 82,362.12

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Solution

The fourth proportional to 274,545, 411,721.02 and 82,362.12 is: 123,514.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,545 : 411,721.02 = 82,362.12 : x
  2. Step 2: Convert to fraction form
    274,545/411,721.02 = 82,362.12/x
  3. Step 3: Cross multiply
    274,545x = 411,721.02 × 82,362.12
  4. Step 4: Simplify right side
    274,545x = 33,910,216,055.76
  5. Step 5: Solve for x
    x = 33,910,216,055.76/274,545
  6. Step 6: Final answer
    x = 123,514.24

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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.