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Finding the Fourth Proportional to 653,644.56, 980,467.61 and 204,367.80

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Solution

The fourth proportional to 653,644.56, 980,467.61 and 204,367.80 is: 306,551.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,644.56 : 980,467.61 = 204,367.80 : x
  2. Step 2: Convert to fraction form
    653,644.56/980,467.61 = 204,367.80/x
  3. Step 3: Cross multiply
    653,644.56x = 980,467.61 × 204,367.80
  4. Step 4: Simplify right side
    653,644.56x = 200,376,008,426.96
  5. Step 5: Solve for x
    x = 200,376,008,426.96/653,644.56
  6. Step 6: Final answer
    x = 306,551.94

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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.