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Finding the Fourth Proportional to 394,399, 544,270.62 and 224,731.54

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Solution

The fourth proportional to 394,399, 544,270.62 and 224,731.54 is: 310,129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,399 : 544,270.62 = 224,731.54 : x
  2. Step 2: Convert to fraction form
    394,399/544,270.62 = 224,731.54/x
  3. Step 3: Cross multiply
    394,399x = 544,270.62 × 224,731.54
  4. Step 4: Simplify right side
    394,399x = 122,314,774,609.36
  5. Step 5: Solve for x
    x = 122,314,774,609.36/394,399
  6. Step 6: Final answer
    x = 310,129.53

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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.