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Finding the Fourth Proportional to 278,310.88, 384,069.15 and 150,986.44

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Solution

The fourth proportional to 278,310.88, 384,069.15 and 150,986.44 is: 208,361.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,310.88 : 384,069.15 = 150,986.44 : x
  2. Step 2: Convert to fraction form
    278,310.88/384,069.15 = 150,986.44/x
  3. Step 3: Cross multiply
    278,310.88x = 384,069.15 × 150,986.44
  4. Step 4: Simplify right side
    278,310.88x = 57,989,232,712.15
  5. Step 5: Solve for x
    x = 57,989,232,712.15/278,310.88
  6. Step 6: Final answer
    x = 208,361.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.