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Finding the Fourth Proportional to 206,662.10, 309,993.15 and 185,666.90

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Solution

The fourth proportional to 206,662.10, 309,993.15 and 185,666.90 is: 278,500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,662.10 : 309,993.15 = 185,666.90 : x
  2. Step 2: Convert to fraction form
    206,662.10/309,993.15 = 185,666.90/x
  3. Step 3: Cross multiply
    206,662.10x = 309,993.15 × 185,666.90
  4. Step 4: Simplify right side
    206,662.10x = 57,555,467,181.74
  5. Step 5: Solve for x
    x = 57,555,467,181.74/206,662.10
  6. Step 6: Final answer
    x = 278,500.35

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1.5x scale

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.