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Finding the Fourth Proportional to 206,306.40, 309,416.40 and 101,200.80

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Solution

The fourth proportional to 206,306.40, 309,416.40 and 101,200.80 is: 151,780.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,306.40 : 309,416.40 = 101,200.80 : x
  2. Step 2: Convert to fraction form
    206,306.40/309,416.40 = 101,200.80/x
  3. Step 3: Cross multiply
    206,306.40x = 309,416.40 × 101,200.80
  4. Step 4: Simplify right side
    206,306.40x = 31,313,187,213.12
  5. Step 5: Solve for x
    x = 31,313,187,213.12/206,306.40
  6. Step 6: Final answer
    x = 151,780.01

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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.