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Finding the Fourth Proportional to 300,906.28, 415,103.70 and 253,142.20

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Solution

The fourth proportional to 300,906.28, 415,103.70 and 253,142.20 is: 349,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,906.28 : 415,103.70 = 253,142.20 : x
  2. Step 2: Convert to fraction form
    300,906.28/415,103.70 = 253,142.20/x
  3. Step 3: Cross multiply
    300,906.28x = 415,103.70 × 253,142.20
  4. Step 4: Simplify right side
    300,906.28x = 105,080,263,846.14
  5. Step 5: Solve for x
    x = 105,080,263,846.14/300,906.28
  6. Step 6: Final answer
    x = 349,212.60

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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.