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Finding the Fourth Proportional to 356,116.50, 491,439.47 and 203,154.44

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Solution

The fourth proportional to 356,116.50, 491,439.47 and 203,154.44 is: 280,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,116.50 : 491,439.47 = 203,154.44 : x
  2. Step 2: Convert to fraction form
    356,116.50/491,439.47 = 203,154.44/x
  3. Step 3: Cross multiply
    356,116.50x = 491,439.47 × 203,154.44
  4. Step 4: Simplify right side
    356,116.50x = 99,838,109,305.97
  5. Step 5: Solve for x
    x = 99,838,109,305.97/356,116.50
  6. Step 6: Final answer
    x = 280,352.38

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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.