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Finding the Fourth Proportional to 419,440.32, 628,635.36 and 330,342

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Solution

The fourth proportional to 419,440.32, 628,635.36 and 330,342 is: 495,099.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,440.32 : 628,635.36 = 330,342 : x
  2. Step 2: Convert to fraction form
    419,440.32/628,635.36 = 330,342/x
  3. Step 3: Cross multiply
    419,440.32x = 628,635.36 × 330,342
  4. Step 4: Simplify right side
    419,440.32x = 207,664,662,093.12
  5. Step 5: Solve for x
    x = 207,664,662,093.12/419,440.32
  6. Step 6: Final answer
    x = 495,099.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.