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Finding the Fourth Proportional to 647,759.50, 969,646.31 and 422,635.19

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Solution

The fourth proportional to 647,759.50, 969,646.31 and 422,635.19 is: 632,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,759.50 : 969,646.31 = 422,635.19 : x
  2. Step 2: Convert to fraction form
    647,759.50/969,646.31 = 422,635.19/x
  3. Step 3: Cross multiply
    647,759.50x = 969,646.31 × 422,635.19
  4. Step 4: Simplify right side
    647,759.50x = 409,806,647,083.12
  5. Step 5: Solve for x
    x = 409,806,647,083.12/647,759.50
  6. Step 6: Final answer
    x = 632,652.47

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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.