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Finding the Fourth Proportional to 419,301.12, 627,993.52 and 329,138.60

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Solution

The fourth proportional to 419,301.12, 627,993.52 and 329,138.60 is: 492,955.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,301.12 : 627,993.52 = 329,138.60 : x
  2. Step 2: Convert to fraction form
    419,301.12/627,993.52 = 329,138.60/x
  3. Step 3: Cross multiply
    419,301.12x = 627,993.52 × 329,138.60
  4. Step 4: Simplify right side
    419,301.12x = 206,696,907,981.87
  5. Step 5: Solve for x
    x = 206,696,907,981.87/419,301.12
  6. Step 6: Final answer
    x = 492,955.77

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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.