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Finding the Fourth Proportional to 418,218.89, 627,296.06 and 133,939.19

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Solution

The fourth proportional to 418,218.89, 627,296.06 and 133,939.19 is: 200,898.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,218.89 : 627,296.06 = 133,939.19 : x
  2. Step 2: Convert to fraction form
    418,218.89/627,296.06 = 133,939.19/x
  3. Step 3: Cross multiply
    418,218.89x = 627,296.06 × 133,939.19
  4. Step 4: Simplify right side
    418,218.89x = 84,019,528,069.68
  5. Step 5: Solve for x
    x = 84,019,528,069.68/418,218.89
  6. Step 6: Final answer
    x = 200,898.46

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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.