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Finding the Fourth Proportional to 693,442, 1,040,438.94 and 266,863.30

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Solution

The fourth proportional to 693,442, 1,040,438.94 and 266,863.30 is: 400,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,442 : 1,040,438.94 = 266,863.30 : x
  2. Step 2: Convert to fraction form
    693,442/1,040,438.94 = 266,863.30/x
  3. Step 3: Cross multiply
    693,442x = 1,040,438.94 × 266,863.30
  4. Step 4: Simplify right side
    693,442x = 277,654,968,976.90
  5. Step 5: Solve for x
    x = 277,654,968,976.90/693,442
  6. Step 6: Final answer
    x = 400,401.14

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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.