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Finding the Fourth Proportional to 356,414.25, 491,730.57 and 203,342.48

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Solution

The fourth proportional to 356,414.25, 491,730.57 and 203,342.48 is: 280,543.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,414.25 : 491,730.57 = 203,342.48 : x
  2. Step 2: Convert to fraction form
    356,414.25/491,730.57 = 203,342.48/x
  3. Step 3: Cross multiply
    356,414.25x = 491,730.57 × 203,342.48
  4. Step 4: Simplify right side
    356,414.25x = 99,989,711,136.96
  5. Step 5: Solve for x
    x = 99,989,711,136.96/356,414.25
  6. Step 6: Final answer
    x = 280,543.53

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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.