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Finding the Fourth Proportional to 329,120.68, 454,188.72 and 178,217.68

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Solution

The fourth proportional to 329,120.68, 454,188.72 and 178,217.68 is: 245,941.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,120.68 : 454,188.72 = 178,217.68 : x
  2. Step 2: Convert to fraction form
    329,120.68/454,188.72 = 178,217.68/x
  3. Step 3: Cross multiply
    329,120.68x = 454,188.72 × 178,217.68
  4. Step 4: Simplify right side
    329,120.68x = 80,944,459,960.57
  5. Step 5: Solve for x
    x = 80,944,459,960.57/329,120.68
  6. Step 6: Final answer
    x = 245,941.58

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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.