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Finding the Fourth Proportional to 297,773.80, 446,660.70 and 269,780.20

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Solution

The fourth proportional to 297,773.80, 446,660.70 and 269,780.20 is: 404,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,773.80 : 446,660.70 = 269,780.20 : x
  2. Step 2: Convert to fraction form
    297,773.80/446,660.70 = 269,780.20/x
  3. Step 3: Cross multiply
    297,773.80x = 446,660.70 × 269,780.20
  4. Step 4: Simplify right side
    297,773.80x = 120,500,212,978.14
  5. Step 5: Solve for x
    x = 120,500,212,978.14/297,773.80
  6. Step 6: Final answer
    x = 404,670.30

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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.