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Finding the Fourth Proportional to 281,889.78, 422,769.97 and 168,069.80

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Solution

The fourth proportional to 281,889.78, 422,769.97 and 168,069.80 is: 252,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,889.78 : 422,769.97 = 168,069.80 : x
  2. Step 2: Convert to fraction form
    281,889.78/422,769.97 = 168,069.80/x
  3. Step 3: Cross multiply
    281,889.78x = 422,769.97 × 168,069.80
  4. Step 4: Simplify right side
    281,889.78x = 71,054,861,349.71
  5. Step 5: Solve for x
    x = 71,054,861,349.71/281,889.78
  6. Step 6: Final answer
    x = 252,066.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.