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Finding the Fourth Proportional to 321,782.20, 482,031.78 and 251,331.64

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Solution

The fourth proportional to 321,782.20, 482,031.78 and 251,331.64 is: 376,496.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,782.20 : 482,031.78 = 251,331.64 : x
  2. Step 2: Convert to fraction form
    321,782.20/482,031.78 = 251,331.64/x
  3. Step 3: Cross multiply
    321,782.20x = 482,031.78 × 251,331.64
  4. Step 4: Simplify right side
    321,782.20x = 121,149,837,799.52
  5. Step 5: Solve for x
    x = 121,149,837,799.52/321,782.20
  6. Step 6: Final answer
    x = 376,496.39

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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.