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Finding the Fourth Proportional to 304,589, 420,274.50 and 197,144.12

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Solution

The fourth proportional to 304,589, 420,274.50 and 197,144.12 is: 272,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,589 : 420,274.50 = 197,144.12 : x
  2. Step 2: Convert to fraction form
    304,589/420,274.50 = 197,144.12/x
  3. Step 3: Cross multiply
    304,589x = 420,274.50 × 197,144.12
  4. Step 4: Simplify right side
    304,589x = 82,854,646,460.94
  5. Step 5: Solve for x
    x = 82,854,646,460.94/304,589
  6. Step 6: Final answer
    x = 272,021.14

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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.