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Finding the Fourth Proportional to 263,679, 363,874.80 and 142,817.44

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Solution

The fourth proportional to 263,679, 363,874.80 and 142,817.44 is: 197,086.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,679 : 363,874.80 = 142,817.44 : x
  2. Step 2: Convert to fraction form
    263,679/363,874.80 = 142,817.44/x
  3. Step 3: Cross multiply
    263,679x = 363,874.80 × 142,817.44
  4. Step 4: Simplify right side
    263,679x = 51,967,667,416.51
  5. Step 5: Solve for x
    x = 51,967,667,416.51/263,679
  6. Step 6: Final answer
    x = 197,086.86

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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.