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Finding the Fourth Proportional to 266,991.81, 400,764.56 and 178,861.19

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Solution

The fourth proportional to 266,991.81, 400,764.56 and 178,861.19 is: 268,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,991.81 : 400,764.56 = 178,861.19 : x
  2. Step 2: Convert to fraction form
    266,991.81/400,764.56 = 178,861.19/x
  3. Step 3: Cross multiply
    266,991.81x = 400,764.56 × 178,861.19
  4. Step 4: Simplify right side
    266,991.81x = 71,681,223,213.30
  5. Step 5: Solve for x
    x = 71,681,223,213.30/266,991.81
  6. Step 6: Final answer
    x = 268,477.24

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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.