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Finding the Fourth Proportional to 285,506.29, 394,040.73 and 164,624.05

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Solution

The fourth proportional to 285,506.29, 394,040.73 and 164,624.05 is: 227,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,506.29 : 394,040.73 = 164,624.05 : x
  2. Step 2: Convert to fraction form
    285,506.29/394,040.73 = 164,624.05/x
  3. Step 3: Cross multiply
    285,506.29x = 394,040.73 × 164,624.05
  4. Step 4: Simplify right side
    285,506.29x = 64,868,580,837.56
  5. Step 5: Solve for x
    x = 64,868,580,837.56/285,506.29
  6. Step 6: Final answer
    x = 227,205.44

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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.