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Finding the Fourth Proportional to 627,775.60, 941,317.80 and 206,834.80

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Solution

The fourth proportional to 627,775.60, 941,317.80 and 206,834.80 is: 310,138.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,775.60 : 941,317.80 = 206,834.80 : x
  2. Step 2: Convert to fraction form
    627,775.60/941,317.80 = 206,834.80/x
  3. Step 3: Cross multiply
    627,775.60x = 941,317.80 × 206,834.80
  4. Step 4: Simplify right side
    627,775.60x = 194,697,278,899.44
  5. Step 5: Solve for x
    x = 194,697,278,899.44/627,775.60
  6. Step 6: Final answer
    x = 310,138.33

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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.