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Finding the Fourth Proportional to 431,514.32, 647,493.30 and 330,958.31

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Solution

The fourth proportional to 431,514.32, 647,493.30 and 330,958.31 is: 496,607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,514.32 : 647,493.30 = 330,958.31 : x
  2. Step 2: Convert to fraction form
    431,514.32/647,493.30 = 330,958.31/x
  3. Step 3: Cross multiply
    431,514.32x = 647,493.30 × 330,958.31
  4. Step 4: Simplify right side
    431,514.32x = 214,293,285,066.86
  5. Step 5: Solve for x
    x = 214,293,285,066.86/431,514.32
  6. Step 6: Final answer
    x = 496,607.59

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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.