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Finding the Fourth Proportional to 329,426.26, 454,657 and 208,578.78

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Solution

The fourth proportional to 329,426.26, 454,657 and 208,578.78 is: 287,869.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,426.26 : 454,657 = 208,578.78 : x
  2. Step 2: Convert to fraction form
    329,426.26/454,657 = 208,578.78/x
  3. Step 3: Cross multiply
    329,426.26x = 454,657 × 208,578.78
  4. Step 4: Simplify right side
    329,426.26x = 94,831,802,378.46
  5. Step 5: Solve for x
    x = 94,831,802,378.46/329,426.26
  6. Step 6: Final answer
    x = 287,869.59

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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.