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Finding the Fourth Proportional to 418,476.38, 627,714.87 and 137,993.63

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Solution

The fourth proportional to 418,476.38, 627,714.87 and 137,993.63 is: 206,990.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,476.38 : 627,714.87 = 137,993.63 : x
  2. Step 2: Convert to fraction form
    418,476.38/627,714.87 = 137,993.63/x
  3. Step 3: Cross multiply
    418,476.38x = 627,714.87 × 137,993.63
  4. Step 4: Simplify right side
    418,476.38x = 86,620,649,860.23
  5. Step 5: Solve for x
    x = 86,620,649,860.23/418,476.38
  6. Step 6: Final answer
    x = 206,990.54

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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.