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Finding the Fourth Proportional to 255,367.84, 352,405.20 and 142,183.84

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Solution

The fourth proportional to 255,367.84, 352,405.20 and 142,183.84 is: 196,212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,367.84 : 352,405.20 = 142,183.84 : x
  2. Step 2: Convert to fraction form
    255,367.84/352,405.20 = 142,183.84/x
  3. Step 3: Cross multiply
    255,367.84x = 352,405.20 × 142,183.84
  4. Step 4: Simplify right side
    255,367.84x = 50,106,324,571.97
  5. Step 5: Solve for x
    x = 50,106,324,571.97/255,367.84
  6. Step 6: Final answer
    x = 196,212.35

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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.