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Finding the Fourth Proportional to 418,082.44, 627,201.44 and 137,619.40

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Solution

The fourth proportional to 418,082.44, 627,201.44 and 137,619.40 is: 206,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,082.44 : 627,201.44 = 137,619.40 : x
  2. Step 2: Convert to fraction form
    418,082.44/627,201.44 = 137,619.40/x
  3. Step 3: Cross multiply
    418,082.44x = 627,201.44 × 137,619.40
  4. Step 4: Simplify right side
    418,082.44x = 86,315,085,851.94
  5. Step 5: Solve for x
    x = 86,315,085,851.94/418,082.44
  6. Step 6: Final answer
    x = 206,454.70

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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.