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Finding the Fourth Proportional to 431,738.20, 647,602.98 and 242,198.20

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Solution

The fourth proportional to 431,738.20, 647,602.98 and 242,198.20 is: 363,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,738.20 : 647,602.98 = 242,198.20 : x
  2. Step 2: Convert to fraction form
    431,738.20/647,602.98 = 242,198.20/x
  3. Step 3: Cross multiply
    431,738.20x = 647,602.98 × 242,198.20
  4. Step 4: Simplify right side
    431,738.20x = 156,848,276,070.64
  5. Step 5: Solve for x
    x = 156,848,276,070.64/431,738.20
  6. Step 6: Final answer
    x = 363,294.88

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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.