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Finding the Fourth Proportional to 206,337.10, 309,107.11 and 152,206.42

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Solution

The fourth proportional to 206,337.10, 309,107.11 and 152,206.42 is: 228,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,337.10 : 309,107.11 = 152,206.42 : x
  2. Step 2: Convert to fraction form
    206,337.10/309,107.11 = 152,206.42/x
  3. Step 3: Cross multiply
    206,337.10x = 309,107.11 × 152,206.42
  4. Step 4: Simplify right side
    206,337.10x = 47,048,086,609.65
  5. Step 5: Solve for x
    x = 47,048,086,609.65/206,337.10
  6. Step 6: Final answer
    x = 228,015.64

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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.