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Finding the Fourth Proportional to 223,660.80, 334,519.20 and 200,138.40

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Solution

The fourth proportional to 223,660.80, 334,519.20 and 200,138.40 is: 299,337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,660.80 : 334,519.20 = 200,138.40 : x
  2. Step 2: Convert to fraction form
    223,660.80/334,519.20 = 200,138.40/x
  3. Step 3: Cross multiply
    223,660.80x = 334,519.20 × 200,138.40
  4. Step 4: Simplify right side
    223,660.80x = 66,950,137,457.28
  5. Step 5: Solve for x
    x = 66,950,137,457.28/223,660.80
  6. Step 6: Final answer
    x = 299,337.83

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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.