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Finding the Fourth Proportional to 431,608.05, 647,598.65 and 231,694.98

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Solution

The fourth proportional to 431,608.05, 647,598.65 and 231,694.98 is: 347,642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,608.05 : 647,598.65 = 231,694.98 : x
  2. Step 2: Convert to fraction form
    431,608.05/647,598.65 = 231,694.98/x
  3. Step 3: Cross multiply
    431,608.05x = 647,598.65 × 231,694.98
  4. Step 4: Simplify right side
    431,608.05x = 150,045,355,101.30
  5. Step 5: Solve for x
    x = 150,045,355,101.30/431,608.05
  6. Step 6: Final answer
    x = 347,642.62

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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.