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Finding the Fourth Proportional to 481,514.46, 664,311.51 and 311,842.14

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Solution

The fourth proportional to 481,514.46, 664,311.51 and 311,842.14 is: 430,226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,514.46 : 664,311.51 = 311,842.14 : x
  2. Step 2: Convert to fraction form
    481,514.46/664,311.51 = 311,842.14/x
  3. Step 3: Cross multiply
    481,514.46x = 664,311.51 × 311,842.14
  4. Step 4: Simplify right side
    481,514.46x = 207,160,322,905.03
  5. Step 5: Solve for x
    x = 207,160,322,905.03/481,514.46
  6. Step 6: Final answer
    x = 430,226.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.