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Finding the Fourth Proportional to 331,709.65, 497,422.32 and 154,198.15

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Solution

The fourth proportional to 331,709.65, 497,422.32 and 154,198.15 is: 231,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,709.65 : 497,422.32 = 154,198.15 : x
  2. Step 2: Convert to fraction form
    331,709.65/497,422.32 = 154,198.15/x
  3. Step 3: Cross multiply
    331,709.65x = 497,422.32 × 154,198.15
  4. Step 4: Simplify right side
    331,709.65x = 76,701,599,690.91
  5. Step 5: Solve for x
    x = 76,701,599,690.91/331,709.65
  6. Step 6: Final answer
    x = 231,231.14

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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.