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Finding the Fourth Proportional to 263,591.88, 363,755.12 and 142,730.60

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Solution

The fourth proportional to 263,591.88, 363,755.12 and 142,730.60 is: 196,967.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,591.88 : 363,755.12 = 142,730.60 : x
  2. Step 2: Convert to fraction form
    263,591.88/363,755.12 = 142,730.60/x
  3. Step 3: Cross multiply
    263,591.88x = 363,755.12 × 142,730.60
  4. Step 4: Simplify right side
    263,591.88x = 51,918,986,530.67
  5. Step 5: Solve for x
    x = 51,918,986,530.67/263,591.88
  6. Step 6: Final answer
    x = 196,967.32

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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.