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Finding the Fourth Proportional to 409,771.86, 613,498.67 and 217,207.52

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Solution

The fourth proportional to 409,771.86, 613,498.67 and 217,207.52 is: 325,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,771.86 : 613,498.67 = 217,207.52 : x
  2. Step 2: Convert to fraction form
    409,771.86/613,498.67 = 217,207.52/x
  3. Step 3: Cross multiply
    409,771.86x = 613,498.67 × 217,207.52
  4. Step 4: Simplify right side
    409,771.86x = 133,256,524,634.00
  5. Step 5: Solve for x
    x = 133,256,524,634.00/409,771.86
  6. Step 6: Final answer
    x = 325,196.87

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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.