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Finding the Fourth Proportional to 418,025.75, 627,204.78 and 133,760.10

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Solution

The fourth proportional to 418,025.75, 627,204.78 and 133,760.10 is: 200,693.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,025.75 : 627,204.78 = 133,760.10 : x
  2. Step 2: Convert to fraction form
    418,025.75/627,204.78 = 133,760.10/x
  3. Step 3: Cross multiply
    418,025.75x = 627,204.78 × 133,760.10
  4. Step 4: Simplify right side
    418,025.75x = 83,894,974,093.28
  5. Step 5: Solve for x
    x = 83,894,974,093.28/418,025.75
  6. Step 6: Final answer
    x = 200,693.32

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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.