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Finding the Fourth Proportional to 206,869.60, 310,377.30 and 199,579.60

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Solution

The fourth proportional to 206,869.60, 310,377.30 and 199,579.60 is: 299,439.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,869.60 : 310,377.30 = 199,579.60 : x
  2. Step 2: Convert to fraction form
    206,869.60/310,377.30 = 199,579.60/x
  3. Step 3: Cross multiply
    206,869.60x = 310,377.30 × 199,579.60
  4. Step 4: Simplify right side
    206,869.60x = 61,944,977,383.08
  5. Step 5: Solve for x
    x = 61,944,977,383.08/206,869.60
  6. Step 6: Final answer
    x = 299,439.73

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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.