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Finding the Fourth Proportional to 647,608.56, 970,824.72 and 226,654.80

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Solution

The fourth proportional to 647,608.56, 970,824.72 and 226,654.80 is: 339,776.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,608.56 : 970,824.72 = 226,654.80 : x
  2. Step 2: Convert to fraction form
    647,608.56/970,824.72 = 226,654.80/x
  3. Step 3: Cross multiply
    647,608.56x = 970,824.72 × 226,654.80
  4. Step 4: Simplify right side
    647,608.56x = 220,042,082,746.66
  5. Step 5: Solve for x
    x = 220,042,082,746.66/647,608.56
  6. Step 6: Final answer
    x = 339,776.37

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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.