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Finding the Fourth Proportional to 285,557.46, 394,019.33 and 162,993.88

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Solution

The fourth proportional to 285,557.46, 394,019.33 and 162,993.88 is: 224,903.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,557.46 : 394,019.33 = 162,993.88 : x
  2. Step 2: Convert to fraction form
    285,557.46/394,019.33 = 162,993.88/x
  3. Step 3: Cross multiply
    285,557.46x = 394,019.33 × 162,993.88
  4. Step 4: Simplify right side
    285,557.46x = 64,222,739,391.70
  5. Step 5: Solve for x
    x = 64,222,739,391.70/285,557.46
  6. Step 6: Final answer
    x = 224,903.03

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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.