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Finding the Fourth Proportional to 419,204.16, 628,018.92 and 325,250.64

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Solution

The fourth proportional to 419,204.16, 628,018.92 and 325,250.64 is: 487,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,204.16 : 628,018.92 = 325,250.64 : x
  2. Step 2: Convert to fraction form
    419,204.16/628,018.92 = 325,250.64/x
  3. Step 3: Cross multiply
    419,204.16x = 628,018.92 × 325,250.64
  4. Step 4: Simplify right side
    419,204.16x = 204,263,555,662.11
  5. Step 5: Solve for x
    x = 204,263,555,662.11/419,204.16
  6. Step 6: Final answer
    x = 487,265.10

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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.