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Finding the Fourth Proportional to 329,211, 454,311.18 and 178,308

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Solution

The fourth proportional to 329,211, 454,311.18 and 178,308 is: 246,065.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,211 : 454,311.18 = 178,308 : x
  2. Step 2: Convert to fraction form
    329,211/454,311.18 = 178,308/x
  3. Step 3: Cross multiply
    329,211x = 454,311.18 × 178,308
  4. Step 4: Simplify right side
    329,211x = 81,007,317,883.44
  5. Step 5: Solve for x
    x = 81,007,317,883.44/329,211
  6. Step 6: Final answer
    x = 246,065.04

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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.