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Finding the Fourth Proportional to 263,596.70, 363,762.88 and 142,738.32

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Solution

The fourth proportional to 263,596.70, 363,762.88 and 142,738.32 is: 196,978.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,596.70 : 363,762.88 = 142,738.32 : x
  2. Step 2: Convert to fraction form
    263,596.70/363,762.88 = 142,738.32/x
  3. Step 3: Cross multiply
    263,596.70x = 363,762.88 × 142,738.32
  4. Step 4: Simplify right side
    263,596.70x = 51,922,902,369.56
  5. Step 5: Solve for x
    x = 51,922,902,369.56/263,596.70
  6. Step 6: Final answer
    x = 196,978.58

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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.