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Finding the Fourth Proportional to 691,092, 1,036,638 and 192,456

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Solution

The fourth proportional to 691,092, 1,036,638 and 192,456 is: 288,684

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,092 : 1,036,638 = 192,456 : x
  2. Step 2: Convert to fraction form
    691,092/1,036,638 = 192,456/x
  3. Step 3: Cross multiply
    691,092x = 1,036,638 × 192,456
  4. Step 4: Simplify right side
    691,092x = 199,507,202,928
  5. Step 5: Solve for x
    x = 199,507,202,928/691,092
  6. Step 6: Final answer
    x = 288,684

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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.