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Finding the Fourth Proportional to 431,610.80, 647,602.77 and 231,697.73

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Solution

The fourth proportional to 431,610.80, 647,602.77 and 231,697.73 is: 347,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,610.80 : 647,602.77 = 231,697.73 : x
  2. Step 2: Convert to fraction form
    431,610.80/647,602.77 = 231,697.73/x
  3. Step 3: Cross multiply
    431,610.80x = 647,602.77 × 231,697.73
  4. Step 4: Simplify right side
    431,610.80x = 150,048,091,750.71
  5. Step 5: Solve for x
    x = 150,048,091,750.71/431,610.80
  6. Step 6: Final answer
    x = 347,646.75

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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.