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Finding the Fourth Proportional to 206,467.60, 309,312.60 and 106,286.80

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Solution

The fourth proportional to 206,467.60, 309,312.60 and 106,286.80 is: 159,230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,467.60 : 309,312.60 = 106,286.80 : x
  2. Step 2: Convert to fraction form
    206,467.60/309,312.60 = 106,286.80/x
  3. Step 3: Cross multiply
    206,467.60x = 309,312.60 × 106,286.80
  4. Step 4: Simplify right side
    206,467.60x = 32,875,846,453.68
  5. Step 5: Solve for x
    x = 32,875,846,453.68/206,467.60
  6. Step 6: Final answer
    x = 159,230.05

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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.