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Finding the Fourth Proportional to 329,573.25, 454,859.64 and 208,725.80

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Solution

The fourth proportional to 329,573.25, 454,859.64 and 208,725.80 is: 288,072.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,573.25 : 454,859.64 = 208,725.80 : x
  2. Step 2: Convert to fraction form
    329,573.25/454,859.64 = 208,725.80/x
  3. Step 3: Cross multiply
    329,573.25x = 454,859.64 × 208,725.80
  4. Step 4: Simplify right side
    329,573.25x = 94,940,939,972.41
  5. Step 5: Solve for x
    x = 94,940,939,972.41/329,573.25
  6. Step 6: Final answer
    x = 288,072.35

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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.