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Finding the Fourth Proportional to 653,447.28, 980,135.64 and 204,116.58

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Solution

The fourth proportional to 653,447.28, 980,135.64 and 204,116.58 is: 306,163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,447.28 : 980,135.64 = 204,116.58 : x
  2. Step 2: Convert to fraction form
    653,447.28/980,135.64 = 204,116.58/x
  3. Step 3: Cross multiply
    653,447.28x = 980,135.64 × 204,116.58
  4. Step 4: Simplify right side
    653,447.28x = 200,061,934,772.91
  5. Step 5: Solve for x
    x = 200,061,934,772.91/653,447.28
  6. Step 6: Final answer
    x = 306,163.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.