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Finding the Fourth Proportional to 209,221.33, 288,864.46 and 160,736.90

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Solution

The fourth proportional to 209,221.33, 288,864.46 and 160,736.90 is: 221,923.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,221.33 : 288,864.46 = 160,736.90 : x
  2. Step 2: Convert to fraction form
    209,221.33/288,864.46 = 160,736.90/x
  3. Step 3: Cross multiply
    209,221.33x = 288,864.46 × 160,736.90
  4. Step 4: Simplify right side
    209,221.33x = 46,431,177,820.57
  5. Step 5: Solve for x
    x = 46,431,177,820.57/209,221.33
  6. Step 6: Final answer
    x = 221,923.73

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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.