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Finding the Fourth Proportional to 263,755.49, 363,982.05 and 142,900.04

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Solution

The fourth proportional to 263,755.49, 363,982.05 and 142,900.04 is: 197,201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,755.49 : 363,982.05 = 142,900.04 : x
  2. Step 2: Convert to fraction form
    263,755.49/363,982.05 = 142,900.04/x
  3. Step 3: Cross multiply
    263,755.49x = 363,982.05 × 142,900.04
  4. Step 4: Simplify right side
    263,755.49x = 52,013,050,414.24
  5. Step 5: Solve for x
    x = 52,013,050,414.24/263,755.49
  6. Step 6: Final answer
    x = 197,201.78

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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.