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Finding the Fourth Proportional to 206,215.80, 309,323.70 and 170,786.40

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Solution

The fourth proportional to 206,215.80, 309,323.70 and 170,786.40 is: 256,179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,215.80 : 309,323.70 = 170,786.40 : x
  2. Step 2: Convert to fraction form
    206,215.80/309,323.70 = 170,786.40/x
  3. Step 3: Cross multiply
    206,215.80x = 309,323.70 × 170,786.40
  4. Step 4: Simplify right side
    206,215.80x = 52,828,281,157.68
  5. Step 5: Solve for x
    x = 52,828,281,157.68/206,215.80
  6. Step 6: Final answer
    x = 256,179.60

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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.