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Finding the Fourth Proportional to 356,694.80, 491,835.72 and 227,460.56

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Solution

The fourth proportional to 356,694.80, 491,835.72 and 227,460.56 is: 313,638.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,694.80 : 491,835.72 = 227,460.56 : x
  2. Step 2: Convert to fraction form
    356,694.80/491,835.72 = 227,460.56/x
  3. Step 3: Cross multiply
    356,694.80x = 491,835.72 × 227,460.56
  4. Step 4: Simplify right side
    356,694.80x = 111,873,228,299.20
  5. Step 5: Solve for x
    x = 111,873,228,299.20/356,694.80
  6. Step 6: Final answer
    x = 313,638.52

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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.