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Finding the Fourth Proportional to 271,696.56, 407,014.70 and 177,918

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Solution

The fourth proportional to 271,696.56, 407,014.70 and 177,918 is: 266,529.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,696.56 : 407,014.70 = 177,918 : x
  2. Step 2: Convert to fraction form
    271,696.56/407,014.70 = 177,918/x
  3. Step 3: Cross multiply
    271,696.56x = 407,014.70 × 177,918
  4. Step 4: Simplify right side
    271,696.56x = 72,415,240,505.01
  5. Step 5: Solve for x
    x = 72,415,240,505.01/271,696.56
  6. Step 6: Final answer
    x = 266,529.84

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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.