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Finding the Fourth Proportional to 409,013.35, 613,617.39 and 206,110.91

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Solution

The fourth proportional to 409,013.35, 613,617.39 and 206,110.91 is: 309,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,013.35 : 613,617.39 = 206,110.91 : x
  2. Step 2: Convert to fraction form
    409,013.35/613,617.39 = 206,110.91/x
  3. Step 3: Cross multiply
    409,013.35x = 613,617.39 × 206,110.91
  4. Step 4: Simplify right side
    409,013.35x = 126,473,240,178.77
  5. Step 5: Solve for x
    x = 126,473,240,178.77/409,013.35
  6. Step 6: Final answer
    x = 309,215.44

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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.