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Finding the Fourth Proportional to 301,795.36, 416,321.42 and 205,004.20

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Solution

The fourth proportional to 301,795.36, 416,321.42 and 205,004.20 is: 282,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,795.36 : 416,321.42 = 205,004.20 : x
  2. Step 2: Convert to fraction form
    301,795.36/416,321.42 = 205,004.20/x
  3. Step 3: Cross multiply
    301,795.36x = 416,321.42 × 205,004.20
  4. Step 4: Simplify right side
    301,795.36x = 85,347,639,649.96
  5. Step 5: Solve for x
    x = 85,347,639,649.96/301,795.36
  6. Step 6: Final answer
    x = 282,799.71

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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.