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Finding the Fourth Proportional to 269,213.60, 403,820.40 and 231,815.90

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Solution

The fourth proportional to 269,213.60, 403,820.40 and 231,815.90 is: 347,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,213.60 : 403,820.40 = 231,815.90 : x
  2. Step 2: Convert to fraction form
    269,213.60/403,820.40 = 231,815.90/x
  3. Step 3: Cross multiply
    269,213.60x = 403,820.40 × 231,815.90
  4. Step 4: Simplify right side
    269,213.60x = 93,611,989,464.36
  5. Step 5: Solve for x
    x = 93,611,989,464.36/269,213.60
  6. Step 6: Final answer
    x = 347,723.85

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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.