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Finding the Fourth Proportional to 419,464.32, 628,671.36 and 330,366

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Solution

The fourth proportional to 419,464.32, 628,671.36 and 330,366 is: 495,135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,464.32 : 628,671.36 = 330,366 : x
  2. Step 2: Convert to fraction form
    419,464.32/628,671.36 = 330,366/x
  3. Step 3: Cross multiply
    419,464.32x = 628,671.36 × 330,366
  4. Step 4: Simplify right side
    419,464.32x = 207,691,642,517.76
  5. Step 5: Solve for x
    x = 207,691,642,517.76/419,464.32
  6. Step 6: Final answer
    x = 495,135.42

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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.