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Finding the Fourth Proportional to 356,342.18, 491,760.14 and 203,377.30

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Solution

The fourth proportional to 356,342.18, 491,760.14 and 203,377.30 is: 280,665.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,342.18 : 491,760.14 = 203,377.30 : x
  2. Step 2: Convert to fraction form
    356,342.18/491,760.14 = 203,377.30/x
  3. Step 3: Cross multiply
    356,342.18x = 491,760.14 × 203,377.30
  4. Step 4: Simplify right side
    356,342.18x = 100,012,847,274.54
  5. Step 5: Solve for x
    x = 100,012,847,274.54/356,342.18
  6. Step 6: Final answer
    x = 280,665.20

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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.