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Finding the Fourth Proportional to 206,464.20, 309,623.40 and 73,348.80

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Solution

The fourth proportional to 206,464.20, 309,623.40 and 73,348.80 is: 109,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,464.20 : 309,623.40 = 73,348.80 : x
  2. Step 2: Convert to fraction form
    206,464.20/309,623.40 = 73,348.80/x
  3. Step 3: Cross multiply
    206,464.20x = 309,623.40 × 73,348.80
  4. Step 4: Simplify right side
    206,464.20x = 22,710,504,841.92
  5. Step 5: Solve for x
    x = 22,710,504,841.92/206,464.20
  6. Step 6: Final answer
    x = 109,997.30

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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.