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Finding the Fourth Proportional to 206,333.20, 309,460.40 and 64,180.20

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Solution

The fourth proportional to 206,333.20, 309,460.40 and 64,180.20 is: 96,258.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,333.20 : 309,460.40 = 64,180.20 : x
  2. Step 2: Convert to fraction form
    206,333.20/309,460.40 = 64,180.20/x
  3. Step 3: Cross multiply
    206,333.20x = 309,460.40 × 64,180.20
  4. Step 4: Simplify right side
    206,333.20x = 19,861,229,703.62
  5. Step 5: Solve for x
    x = 19,861,229,703.62/206,333.20
  6. Step 6: Final answer
    x = 96,258.04

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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.