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Finding the Fourth Proportional to 301,324.80, 415,699.20 and 188,198.40

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Solution

The fourth proportional to 301,324.80, 415,699.20 and 188,198.40 is: 259,633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,324.80 : 415,699.20 = 188,198.40 : x
  2. Step 2: Convert to fraction form
    301,324.80/415,699.20 = 188,198.40/x
  3. Step 3: Cross multiply
    301,324.80x = 415,699.20 × 188,198.40
  4. Step 4: Simplify right side
    301,324.80x = 78,233,924,321.28
  5. Step 5: Solve for x
    x = 78,233,924,321.28/301,324.80
  6. Step 6: Final answer
    x = 259,633.21

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1.5x scale

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.