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Finding the Fourth Proportional to 304,636.73, 420,489.79 and 197,214.01

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Solution

The fourth proportional to 304,636.73, 420,489.79 and 197,214.01 is: 272,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,636.73 : 420,489.79 = 197,214.01 : x
  2. Step 2: Convert to fraction form
    304,636.73/420,489.79 = 197,214.01/x
  3. Step 3: Cross multiply
    304,636.73x = 420,489.79 × 197,214.01
  4. Step 4: Simplify right side
    304,636.73x = 82,926,476,105.70
  5. Step 5: Solve for x
    x = 82,926,476,105.70/304,636.73
  6. Step 6: Final answer
    x = 272,214.31

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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.