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Finding the Fourth Proportional to 300,825.40, 415,086.42 and 171,704.92

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Solution

The fourth proportional to 300,825.40, 415,086.42 and 171,704.92 is: 236,922.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,825.40 : 415,086.42 = 171,704.92 : x
  2. Step 2: Convert to fraction form
    300,825.40/415,086.42 = 171,704.92/x
  3. Step 3: Cross multiply
    300,825.40x = 415,086.42 × 171,704.92
  4. Step 4: Simplify right side
    300,825.40x = 71,272,380,539.19
  5. Step 5: Solve for x
    x = 71,272,380,539.19/300,825.40
  6. Step 6: Final answer
    x = 236,922.75

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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.