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Finding the Fourth Proportional to 439,351.83, 659,031.27 and 287,676.78

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Solution

The fourth proportional to 439,351.83, 659,031.27 and 287,676.78 is: 431,517.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,351.83 : 659,031.27 = 287,676.78 : x
  2. Step 2: Convert to fraction form
    439,351.83/659,031.27 = 287,676.78/x
  3. Step 3: Cross multiply
    439,351.83x = 659,031.27 × 287,676.78
  4. Step 4: Simplify right side
    439,351.83x = 189,587,993,672.91
  5. Step 5: Solve for x
    x = 189,587,993,672.91/439,351.83
  6. Step 6: Final answer
    x = 431,517.48

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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.