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Finding the Fourth Proportional to 366,144, 505,286.40 and 207,168

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Solution

The fourth proportional to 366,144, 505,286.40 and 207,168 is: 285,896.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,144 : 505,286.40 = 207,168 : x
  2. Step 2: Convert to fraction form
    366,144/505,286.40 = 207,168/x
  3. Step 3: Cross multiply
    366,144x = 505,286.40 × 207,168
  4. Step 4: Simplify right side
    366,144x = 104,679,172,915.20
  5. Step 5: Solve for x
    x = 104,679,172,915.20/366,144
  6. Step 6: Final answer
    x = 285,896.19

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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.