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Finding the Fourth Proportional to 329,755.30, 494,286.67 and 209,904.05

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Solution

The fourth proportional to 329,755.30, 494,286.67 and 209,904.05 is: 314,635.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,755.30 : 494,286.67 = 209,904.05 : x
  2. Step 2: Convert to fraction form
    329,755.30/494,286.67 = 209,904.05/x
  3. Step 3: Cross multiply
    329,755.30x = 494,286.67 × 209,904.05
  4. Step 4: Simplify right side
    329,755.30x = 103,752,772,844.49
  5. Step 5: Solve for x
    x = 103,752,772,844.49/329,755.30
  6. Step 6: Final answer
    x = 314,635.65

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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.