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Finding the Fourth Proportional to 400,722.14, 552,999.42 and 219,450.80

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Solution

The fourth proportional to 400,722.14, 552,999.42 and 219,450.80 is: 302,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,722.14 : 552,999.42 = 219,450.80 : x
  2. Step 2: Convert to fraction form
    400,722.14/552,999.42 = 219,450.80/x
  3. Step 3: Cross multiply
    400,722.14x = 552,999.42 × 219,450.80
  4. Step 4: Simplify right side
    400,722.14x = 121,356,162,353.54
  5. Step 5: Solve for x
    x = 121,356,162,353.54/400,722.14
  6. Step 6: Final answer
    x = 302,843.67

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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.