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Finding the Fourth Proportional to 418,201.88, 627,618.28 and 193,719.80

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Solution

The fourth proportional to 418,201.88, 627,618.28 and 193,719.80 is: 290,725.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,201.88 : 627,618.28 = 193,719.80 : x
  2. Step 2: Convert to fraction form
    418,201.88/627,618.28 = 193,719.80/x
  3. Step 3: Cross multiply
    418,201.88x = 627,618.28 × 193,719.80
  4. Step 4: Simplify right side
    418,201.88x = 121,582,087,677.94
  5. Step 5: Solve for x
    x = 121,582,087,677.94/418,201.88
  6. Step 6: Final answer
    x = 290,725.83

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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.