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Finding the Fourth Proportional to 366,014, 505,099.20 and 204,869

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Solution

The fourth proportional to 366,014, 505,099.20 and 204,869 is: 282,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,014 : 505,099.20 = 204,869 : x
  2. Step 2: Convert to fraction form
    366,014/505,099.20 = 204,869/x
  3. Step 3: Cross multiply
    366,014x = 505,099.20 × 204,869
  4. Step 4: Simplify right side
    366,014x = 103,479,168,004.80
  5. Step 5: Solve for x
    x = 103,479,168,004.80/366,014
  6. Step 6: Final answer
    x = 282,719.15

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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.