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Finding the Fourth Proportional to 279,638.20, 419,457.30 and 200,906.20

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Solution

The fourth proportional to 279,638.20, 419,457.30 and 200,906.20 is: 301,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,638.20 : 419,457.30 = 200,906.20 : x
  2. Step 2: Convert to fraction form
    279,638.20/419,457.30 = 200,906.20/x
  3. Step 3: Cross multiply
    279,638.20x = 419,457.30 × 200,906.20
  4. Step 4: Simplify right side
    279,638.20x = 84,271,572,205.26
  5. Step 5: Solve for x
    x = 84,271,572,205.26/279,638.20
  6. Step 6: Final answer
    x = 301,359.30

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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.