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Finding the Fourth Proportional to 409,771.48, 613,498.12 and 217,207.14

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Solution

The fourth proportional to 409,771.48, 613,498.12 and 217,207.14 is: 325,196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,771.48 : 613,498.12 = 217,207.14 : x
  2. Step 2: Convert to fraction form
    409,771.48/613,498.12 = 217,207.14/x
  3. Step 3: Cross multiply
    409,771.48x = 613,498.12 × 217,207.14
  4. Step 4: Simplify right side
    409,771.48x = 133,256,171,497.56
  5. Step 5: Solve for x
    x = 133,256,171,497.56/409,771.48
  6. Step 6: Final answer
    x = 325,196.31

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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.