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Finding the Fourth Proportional to 311,493.72, 430,048.08 and 204,250.80

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Solution

The fourth proportional to 311,493.72, 430,048.08 and 204,250.80 is: 281,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,493.72 : 430,048.08 = 204,250.80 : x
  2. Step 2: Convert to fraction form
    311,493.72/430,048.08 = 204,250.80/x
  3. Step 3: Cross multiply
    311,493.72x = 430,048.08 × 204,250.80
  4. Step 4: Simplify right side
    311,493.72x = 87,837,664,378.46
  5. Step 5: Solve for x
    x = 87,837,664,378.46/311,493.72
  6. Step 6: Final answer
    x = 281,988.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.