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Finding the Fourth Proportional to 269,213.10, 403,819.65 and 231,815.40

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Solution

The fourth proportional to 269,213.10, 403,819.65 and 231,815.40 is: 347,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,213.10 : 403,819.65 = 231,815.40 : x
  2. Step 2: Convert to fraction form
    269,213.10/403,819.65 = 231,815.40/x
  3. Step 3: Cross multiply
    269,213.10x = 403,819.65 × 231,815.40
  4. Step 4: Simplify right side
    269,213.10x = 93,611,613,692.61
  5. Step 5: Solve for x
    x = 93,611,613,692.61/269,213.10
  6. Step 6: Final answer
    x = 347,723.10

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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.