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Finding the Fourth Proportional to 1,016,744, 1,525,116 and 268,790

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Solution

The fourth proportional to 1,016,744, 1,525,116 and 268,790 is: 403,185

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,744 : 1,525,116 = 268,790 : x
  2. Step 2: Convert to fraction form
    1,016,744/1,525,116 = 268,790/x
  3. Step 3: Cross multiply
    1,016,744x = 1,525,116 × 268,790
  4. Step 4: Simplify right side
    1,016,744x = 409,935,929,640
  5. Step 5: Solve for x
    x = 409,935,929,640/1,016,744
  6. Step 6: Final answer
    x = 403,185

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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.