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Finding the Fourth Proportional to 397,694.91, 596,635.79 and 131,455.43

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Solution

The fourth proportional to 397,694.91, 596,635.79 and 131,455.43 is: 197,214.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,694.91 : 596,635.79 = 131,455.43 : x
  2. Step 2: Convert to fraction form
    397,694.91/596,635.79 = 131,455.43/x
  3. Step 3: Cross multiply
    397,694.91x = 596,635.79 × 131,455.43
  4. Step 4: Simplify right side
    397,694.91x = 78,431,014,327.84
  5. Step 5: Solve for x
    x = 78,431,014,327.84/397,694.91
  6. Step 6: Final answer
    x = 197,214.03

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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.