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Finding the Fourth Proportional to 285,708.69, 394,176.33 and 164,880.54

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Solution

The fourth proportional to 285,708.69, 394,176.33 and 164,880.54 is: 227,476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,708.69 : 394,176.33 = 164,880.54 : x
  2. Step 2: Convert to fraction form
    285,708.69/394,176.33 = 164,880.54/x
  3. Step 3: Cross multiply
    285,708.69x = 394,176.33 × 164,880.54
  4. Step 4: Simplify right side
    285,708.69x = 64,992,006,145.62
  5. Step 5: Solve for x
    x = 64,992,006,145.62/285,708.69
  6. Step 6: Final answer
    x = 227,476.48

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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.