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Finding the Fourth Proportional to 409,011.66, 613,614.86 and 206,109.23

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Solution

The fourth proportional to 409,011.66, 613,614.86 and 206,109.23 is: 309,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,011.66 : 613,614.86 = 206,109.23 : x
  2. Step 2: Convert to fraction form
    409,011.66/613,614.86 = 206,109.23/x
  3. Step 3: Cross multiply
    409,011.66x = 613,614.86 × 206,109.23
  4. Step 4: Simplify right side
    409,011.66x = 126,471,682,985.45
  5. Step 5: Solve for x
    x = 126,471,682,985.45/409,011.66
  6. Step 6: Final answer
    x = 309,212.90

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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.