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Finding the Fourth Proportional to 1,057,724, 1,586,586 and 269,756

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Solution

The fourth proportional to 1,057,724, 1,586,586 and 269,756 is: 404,634

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,724 : 1,586,586 = 269,756 : x
  2. Step 2: Convert to fraction form
    1,057,724/1,586,586 = 269,756/x
  3. Step 3: Cross multiply
    1,057,724x = 1,586,586 × 269,756
  4. Step 4: Simplify right side
    1,057,724x = 427,991,093,016
  5. Step 5: Solve for x
    x = 427,991,093,016/1,057,724
  6. Step 6: Final answer
    x = 404,634

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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.