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Finding the Fourth Proportional to 512,433.80, 768,881.10 and 231,806.60

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Solution

The fourth proportional to 512,433.80, 768,881.10 and 231,806.60 is: 347,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,433.80 : 768,881.10 = 231,806.60 : x
  2. Step 2: Convert to fraction form
    512,433.80/768,881.10 = 231,806.60/x
  3. Step 3: Cross multiply
    512,433.80x = 768,881.10 × 231,806.60
  4. Step 4: Simplify right side
    512,433.80x = 178,231,713,595.26
  5. Step 5: Solve for x
    x = 178,231,713,595.26/512,433.80
  6. Step 6: Final answer
    x = 347,814.12

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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.