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Finding the Fourth Proportional to 272,361.60, 408,979.80 and 205,876.80

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Solution

The fourth proportional to 272,361.60, 408,979.80 and 205,876.80 is: 309,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,361.60 : 408,979.80 = 205,876.80 : x
  2. Step 2: Convert to fraction form
    272,361.60/408,979.80 = 205,876.80/x
  3. Step 3: Cross multiply
    272,361.60x = 408,979.80 × 205,876.80
  4. Step 4: Simplify right side
    272,361.60x = 84,199,452,488.64
  5. Step 5: Solve for x
    x = 84,199,452,488.64/272,361.60
  6. Step 6: Final answer
    x = 309,145.83

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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.