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Finding the Fourth Proportional to 418,313.26, 627,568.30 and 137,830.50

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Solution

The fourth proportional to 418,313.26, 627,568.30 and 137,830.50 is: 206,778.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,313.26 : 627,568.30 = 137,830.50 : x
  2. Step 2: Convert to fraction form
    418,313.26/627,568.30 = 137,830.50/x
  3. Step 3: Cross multiply
    418,313.26x = 627,568.30 × 137,830.50
  4. Step 4: Simplify right side
    418,313.26x = 86,498,052,573.15
  5. Step 5: Solve for x
    x = 86,498,052,573.15/418,313.26
  6. Step 6: Final answer
    x = 206,778.18

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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.