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Finding the Fourth Proportional to 200,457.92, 300,469.53 and 100,376.84

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Solution

The fourth proportional to 200,457.92, 300,469.53 and 100,376.84 is: 150,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,457.92 : 300,469.53 = 100,376.84 : x
  2. Step 2: Convert to fraction form
    200,457.92/300,469.53 = 100,376.84/x
  3. Step 3: Cross multiply
    200,457.92x = 300,469.53 × 100,376.84
  4. Step 4: Simplify right side
    200,457.92x = 30,160,181,937.69
  5. Step 5: Solve for x
    x = 30,160,181,937.69/200,457.92
  6. Step 6: Final answer
    x = 150,456.42

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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.