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Finding the Fourth Proportional to 206,323.78, 309,532.36 and 73,204.20

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Solution

The fourth proportional to 206,323.78, 309,532.36 and 73,204.20 is: 109,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,323.78 : 309,532.36 = 73,204.20 : x
  2. Step 2: Convert to fraction form
    206,323.78/309,532.36 = 73,204.20/x
  3. Step 3: Cross multiply
    206,323.78x = 309,532.36 × 73,204.20
  4. Step 4: Simplify right side
    206,323.78x = 22,659,068,787.91
  5. Step 5: Solve for x
    x = 22,659,068,787.91/206,323.78
  6. Step 6: Final answer
    x = 109,822.87

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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.