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Finding the Fourth Proportional to 418,684.44, 627,742.38 and 213,013.59

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Solution

The fourth proportional to 418,684.44, 627,742.38 and 213,013.59 is: 319,375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,684.44 : 627,742.38 = 213,013.59 : x
  2. Step 2: Convert to fraction form
    418,684.44/627,742.38 = 213,013.59/x
  3. Step 3: Cross multiply
    418,684.44x = 627,742.38 × 213,013.59
  4. Step 4: Simplify right side
    418,684.44x = 133,717,657,958.94
  5. Step 5: Solve for x
    x = 133,717,657,958.94/418,684.44
  6. Step 6: Final answer
    x = 319,375.75

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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.