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Finding the Fourth Proportional to 394,157.13, 543,937.44 and 224,391.25

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Solution

The fourth proportional to 394,157.13, 543,937.44 and 224,391.25 is: 309,660.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,157.13 : 543,937.44 = 224,391.25 : x
  2. Step 2: Convert to fraction form
    394,157.13/543,937.44 = 224,391.25/x
  3. Step 3: Cross multiply
    394,157.13x = 543,937.44 × 224,391.25
  4. Step 4: Simplify right side
    394,157.13x = 122,054,802,083.40
  5. Step 5: Solve for x
    x = 122,054,802,083.40/394,157.13
  6. Step 6: Final answer
    x = 309,660.27

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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.