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Finding the Fourth Proportional to 206,579.20, 309,212.70 and 147,530.20

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Solution

The fourth proportional to 206,579.20, 309,212.70 and 147,530.20 is: 220,826.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,579.20 : 309,212.70 = 147,530.20 : x
  2. Step 2: Convert to fraction form
    206,579.20/309,212.70 = 147,530.20/x
  3. Step 3: Cross multiply
    206,579.20x = 309,212.70 × 147,530.20
  4. Step 4: Simplify right side
    206,579.20x = 45,618,211,473.54
  5. Step 5: Solve for x
    x = 45,618,211,473.54/206,579.20
  6. Step 6: Final answer
    x = 220,826.74

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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.