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Finding the Fourth Proportional to 297,435.30, 445,241.70 and 163,906.80

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Solution

The fourth proportional to 297,435.30, 445,241.70 and 163,906.80 is: 245,358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,435.30 : 445,241.70 = 163,906.80 : x
  2. Step 2: Convert to fraction form
    297,435.30/445,241.70 = 163,906.80/x
  3. Step 3: Cross multiply
    297,435.30x = 445,241.70 × 163,906.80
  4. Step 4: Simplify right side
    297,435.30x = 72,978,142,273.56
  5. Step 5: Solve for x
    x = 72,978,142,273.56/297,435.30
  6. Step 6: Final answer
    x = 245,358.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.