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Finding the Fourth Proportional to 218,039.73, 300,809.42 and 160,816.43

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Solution

The fourth proportional to 218,039.73, 300,809.42 and 160,816.43 is: 221,863.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,039.73 : 300,809.42 = 160,816.43 : x
  2. Step 2: Convert to fraction form
    218,039.73/300,809.42 = 160,816.43/x
  3. Step 3: Cross multiply
    218,039.73x = 300,809.42 × 160,816.43
  4. Step 4: Simplify right side
    218,039.73x = 48,375,094,726.64
  5. Step 5: Solve for x
    x = 48,375,094,726.64/218,039.73
  6. Step 6: Final answer
    x = 221,863.67

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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.