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Finding the Fourth Proportional to 285,559.46, 394,022.09 and 162,995.88

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Solution

The fourth proportional to 285,559.46, 394,022.09 and 162,995.88 is: 224,905.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,559.46 : 394,022.09 = 162,995.88 : x
  2. Step 2: Convert to fraction form
    285,559.46/394,022.09 = 162,995.88/x
  3. Step 3: Cross multiply
    285,559.46x = 394,022.09 × 162,995.88
  4. Step 4: Simplify right side
    285,559.46x = 64,223,977,298.99
  5. Step 5: Solve for x
    x = 64,223,977,298.99/285,559.46
  6. Step 6: Final answer
    x = 224,905.79

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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.