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Finding the Fourth Proportional to 285,802.80, 394,379.42 and 164,983.02

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Solution

The fourth proportional to 285,802.80, 394,379.42 and 164,983.02 is: 227,660.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,802.80 : 394,379.42 = 164,983.02 : x
  2. Step 2: Convert to fraction form
    285,802.80/394,379.42 = 164,983.02/x
  3. Step 3: Cross multiply
    285,802.80x = 394,379.42 × 164,983.02
  4. Step 4: Simplify right side
    285,802.80x = 65,065,906,912.53
  5. Step 5: Solve for x
    x = 65,065,906,912.53/285,802.80
  6. Step 6: Final answer
    x = 227,660.15

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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.