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Finding the Fourth Proportional to 843,993, 1,266,100.65 and 275,174.34

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Solution

The fourth proportional to 843,993, 1,266,100.65 and 275,174.34 is: 412,797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,993 : 1,266,100.65 = 275,174.34 : x
  2. Step 2: Convert to fraction form
    843,993/1,266,100.65 = 275,174.34/x
  3. Step 3: Cross multiply
    843,993x = 1,266,100.65 × 275,174.34
  4. Step 4: Simplify right side
    843,993x = 348,398,410,737.32
  5. Step 5: Solve for x
    x = 348,398,410,737.32/843,993
  6. Step 6: Final answer
    x = 412,797.75

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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.