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Finding the Fourth Proportional to 285,711.69, 394,180.47 and 164,883.54

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Solution

The fourth proportional to 285,711.69, 394,180.47 and 164,883.54 is: 227,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,711.69 : 394,180.47 = 164,883.54 : x
  2. Step 2: Convert to fraction form
    285,711.69/394,180.47 = 164,883.54/x
  3. Step 3: Cross multiply
    285,711.69x = 394,180.47 × 164,883.54
  4. Step 4: Simplify right side
    285,711.69x = 64,993,871,292.46
  5. Step 5: Solve for x
    x = 64,993,871,292.46/285,711.69
  6. Step 6: Final answer
    x = 227,480.62

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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.