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Finding the Fourth Proportional to 279,092.56, 385,164.52 and 164,447.60

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Solution

The fourth proportional to 279,092.56, 385,164.52 and 164,447.60 is: 226,947.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,092.56 : 385,164.52 = 164,447.60 : x
  2. Step 2: Convert to fraction form
    279,092.56/385,164.52 = 164,447.60/x
  3. Step 3: Cross multiply
    279,092.56x = 385,164.52 × 164,447.60
  4. Step 4: Simplify right side
    279,092.56x = 63,339,380,919.15
  5. Step 5: Solve for x
    x = 63,339,380,919.15/279,092.56
  6. Step 6: Final answer
    x = 226,947.58

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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.