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Finding the Fourth Proportional to 419,516.80, 627,892.80 and 325,513.60

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Solution

The fourth proportional to 419,516.80, 627,892.80 and 325,513.60 is: 487,197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,516.80 : 627,892.80 = 325,513.60 : x
  2. Step 2: Convert to fraction form
    419,516.80/627,892.80 = 325,513.60/x
  3. Step 3: Cross multiply
    419,516.80x = 627,892.80 × 325,513.60
  4. Step 4: Simplify right side
    419,516.80x = 204,387,645,742.08
  5. Step 5: Solve for x
    x = 204,387,645,742.08/419,516.80
  6. Step 6: Final answer
    x = 487,197.76

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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.