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Finding the Fourth Proportional to 304,771.59, 420,493.82 and 197,171.19

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Solution

The fourth proportional to 304,771.59, 420,493.82 and 197,171.19 is: 272,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,771.59 : 420,493.82 = 197,171.19 : x
  2. Step 2: Convert to fraction form
    304,771.59/420,493.82 = 197,171.19/x
  3. Step 3: Cross multiply
    304,771.59x = 420,493.82 × 197,171.19
  4. Step 4: Simplify right side
    304,771.59x = 82,909,265,891.19
  5. Step 5: Solve for x
    x = 82,909,265,891.19/304,771.59
  6. Step 6: Final answer
    x = 272,037.38

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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.