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Finding the Fourth Proportional to 611,993, 844,629.54 and 343,721

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Solution

The fourth proportional to 611,993, 844,629.54 and 343,721 is: 474,379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,993 : 844,629.54 = 343,721 : x
  2. Step 2: Convert to fraction form
    611,993/844,629.54 = 343,721/x
  3. Step 3: Cross multiply
    611,993x = 844,629.54 × 343,721
  4. Step 4: Simplify right side
    611,993x = 290,316,910,118.34
  5. Step 5: Solve for x
    x = 290,316,910,118.34/611,993
  6. Step 6: Final answer
    x = 474,379.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.