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Finding the Fourth Proportional to 288,293.65, 397,869.83 and 160,993.84

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Solution

The fourth proportional to 288,293.65, 397,869.83 and 160,993.84 is: 222,185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,293.65 : 397,869.83 = 160,993.84 : x
  2. Step 2: Convert to fraction form
    288,293.65/397,869.83 = 160,993.84/x
  3. Step 3: Cross multiply
    288,293.65x = 397,869.83 × 160,993.84
  4. Step 4: Simplify right side
    288,293.65x = 64,054,591,751.85
  5. Step 5: Solve for x
    x = 64,054,591,751.85/288,293.65
  6. Step 6: Final answer
    x = 222,185.23

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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.