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Finding the Fourth Proportional to 304,734, 420,393.36 and 197,338.62

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Solution

The fourth proportional to 304,734, 420,393.36 and 197,338.62 is: 272,236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,734 : 420,393.36 = 197,338.62 : x
  2. Step 2: Convert to fraction form
    304,734/420,393.36 = 197,338.62/x
  3. Step 3: Cross multiply
    304,734x = 420,393.36 × 197,338.62
  4. Step 4: Simplify right side
    304,734x = 82,959,845,519.56
  5. Step 5: Solve for x
    x = 82,959,845,519.56/304,734
  6. Step 6: Final answer
    x = 272,236.92

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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.