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Finding the Fourth Proportional to 329,759.64, 454,900.86 and 208,696.92

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Solution

The fourth proportional to 329,759.64, 454,900.86 and 208,696.92 is: 287,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,759.64 : 454,900.86 = 208,696.92 : x
  2. Step 2: Convert to fraction form
    329,759.64/454,900.86 = 208,696.92/x
  3. Step 3: Cross multiply
    329,759.64x = 454,900.86 × 208,696.92
  4. Step 4: Simplify right side
    329,759.64x = 94,936,408,387.35
  5. Step 5: Solve for x
    x = 94,936,408,387.35/329,759.64
  6. Step 6: Final answer
    x = 287,895.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.