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Finding the Fourth Proportional to 263,758.58, 363,986.34 and 142,902.87

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Solution

The fourth proportional to 263,758.58, 363,986.34 and 142,902.87 is: 197,205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,758.58 : 363,986.34 = 142,902.87 : x
  2. Step 2: Convert to fraction form
    263,758.58/363,986.34 = 142,902.87/x
  3. Step 3: Cross multiply
    263,758.58x = 363,986.34 × 142,902.87
  4. Step 4: Simplify right side
    263,758.58x = 52,014,692,626.80
  5. Step 5: Solve for x
    x = 52,014,692,626.80/263,758.58
  6. Step 6: Final answer
    x = 197,205.69

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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.