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Finding the Fourth Proportional to 413,995.46, 620,993.19 and 133,512.71

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Solution

The fourth proportional to 413,995.46, 620,993.19 and 133,512.71 is: 200,269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,995.46 : 620,993.19 = 133,512.71 : x
  2. Step 2: Convert to fraction form
    413,995.46/620,993.19 = 133,512.71/x
  3. Step 3: Cross multiply
    413,995.46x = 620,993.19 × 133,512.71
  4. Step 4: Simplify right side
    413,995.46x = 82,910,483,688.44
  5. Step 5: Solve for x
    x = 82,910,483,688.44/413,995.46
  6. Step 6: Final answer
    x = 200,269.07

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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.