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Finding the Fourth Proportional to 200,485, 300,610.84 and 75,835.72

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Solution

The fourth proportional to 200,485, 300,610.84 and 75,835.72 is: 113,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,485 : 300,610.84 = 75,835.72 : x
  2. Step 2: Convert to fraction form
    200,485/300,610.84 = 75,835.72/x
  3. Step 3: Cross multiply
    200,485x = 300,610.84 × 75,835.72
  4. Step 4: Simplify right side
    200,485x = 22,797,039,491.20
  5. Step 5: Solve for x
    x = 22,797,039,491.20/200,485
  6. Step 6: Final answer
    x = 113,709.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.