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Finding the Fourth Proportional to 329,805.47, 494,157.17 and 317,519.39

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Solution

The fourth proportional to 329,805.47, 494,157.17 and 317,519.39 is: 475,748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,805.47 : 494,157.17 = 317,519.39 : x
  2. Step 2: Convert to fraction form
    329,805.47/494,157.17 = 317,519.39/x
  3. Step 3: Cross multiply
    329,805.47x = 494,157.17 × 317,519.39
  4. Step 4: Simplify right side
    329,805.47x = 156,904,485,211.72
  5. Step 5: Solve for x
    x = 156,904,485,211.72/329,805.47
  6. Step 6: Final answer
    x = 475,748.58

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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.