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Finding the Fourth Proportional to 329,164.08, 494,416.80 and 217,005

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Solution

The fourth proportional to 329,164.08, 494,416.80 and 217,005 is: 325,949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,164.08 : 494,416.80 = 217,005 : x
  2. Step 2: Convert to fraction form
    329,164.08/494,416.80 = 217,005/x
  3. Step 3: Cross multiply
    329,164.08x = 494,416.80 × 217,005
  4. Step 4: Simplify right side
    329,164.08x = 107,290,917,684
  5. Step 5: Solve for x
    x = 107,290,917,684/329,164.08
  6. Step 6: Final answer
    x = 325,949.65

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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.