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Finding the Fourth Proportional to 206,959.20, 309,782.70 and 147,910.20

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Solution

The fourth proportional to 206,959.20, 309,782.70 and 147,910.20 is: 221,396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,959.20 : 309,782.70 = 147,910.20 : x
  2. Step 2: Convert to fraction form
    206,959.20/309,782.70 = 147,910.20/x
  3. Step 3: Cross multiply
    206,959.20x = 309,782.70 × 147,910.20
  4. Step 4: Simplify right side
    206,959.20x = 45,820,021,113.54
  5. Step 5: Solve for x
    x = 45,820,021,113.54/206,959.20
  6. Step 6: Final answer
    x = 221,396.40

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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.