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Finding the Fourth Proportional to 289,809.75, 399,861.77 and 167,272.14

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Solution

The fourth proportional to 289,809.75, 399,861.77 and 167,272.14 is: 230,791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,809.75 : 399,861.77 = 167,272.14 : x
  2. Step 2: Convert to fraction form
    289,809.75/399,861.77 = 167,272.14/x
  3. Step 3: Cross multiply
    289,809.75x = 399,861.77 × 167,272.14
  4. Step 4: Simplify right side
    289,809.75x = 66,885,733,135.73
  5. Step 5: Solve for x
    x = 66,885,733,135.73/289,809.75
  6. Step 6: Final answer
    x = 230,791.87

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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.