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Finding the Fourth Proportional to 218,044.26, 300,815.64 and 160,820.94

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Solution

The fourth proportional to 218,044.26, 300,815.64 and 160,820.94 is: 221,869.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,044.26 : 300,815.64 = 160,820.94 : x
  2. Step 2: Convert to fraction form
    218,044.26/300,815.64 = 160,820.94/x
  3. Step 3: Cross multiply
    218,044.26x = 300,815.64 × 160,820.94
  4. Step 4: Simplify right side
    218,044.26x = 48,377,453,991.50
  5. Step 5: Solve for x
    x = 48,377,453,991.50/218,044.26
  6. Step 6: Final answer
    x = 221,869.88

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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.