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Finding the Fourth Proportional to 394,149.12, 543,926.28 and 224,383

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Solution

The fourth proportional to 394,149.12, 543,926.28 and 224,383 is: 309,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,149.12 : 543,926.28 = 224,383 : x
  2. Step 2: Convert to fraction form
    394,149.12/543,926.28 = 224,383/x
  3. Step 3: Cross multiply
    394,149.12x = 543,926.28 × 224,383
  4. Step 4: Simplify right side
    394,149.12x = 122,047,810,485.24
  5. Step 5: Solve for x
    x = 122,047,810,485.24/394,149.12
  6. Step 6: Final answer
    x = 309,648.82

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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.