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Finding the Fourth Proportional to 304,625, 420,324.18 and 197,180.12

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Solution

The fourth proportional to 304,625, 420,324.18 and 197,180.12 is: 272,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,625 : 420,324.18 = 197,180.12 : x
  2. Step 2: Convert to fraction form
    304,625/420,324.18 = 197,180.12/x
  3. Step 3: Cross multiply
    304,625x = 420,324.18 × 197,180.12
  4. Step 4: Simplify right side
    304,625x = 82,879,572,251.30
  5. Step 5: Solve for x
    x = 82,879,572,251.30/304,625
  6. Step 6: Final answer
    x = 272,070.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.