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Finding the Fourth Proportional to 200,644.20, 301,112.10 and 82,400.40

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Solution

The fourth proportional to 200,644.20, 301,112.10 and 82,400.40 is: 123,660.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,644.20 : 301,112.10 = 82,400.40 : x
  2. Step 2: Convert to fraction form
    200,644.20/301,112.10 = 82,400.40/x
  3. Step 3: Cross multiply
    200,644.20x = 301,112.10 × 82,400.40
  4. Step 4: Simplify right side
    200,644.20x = 24,811,757,484.84
  5. Step 5: Solve for x
    x = 24,811,757,484.84/200,644.20
  6. Step 6: Final answer
    x = 123,660.48

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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.