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Finding the Fourth Proportional to 285,971.92, 394,688.46 and 158,688.52

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Solution

The fourth proportional to 285,971.92, 394,688.46 and 158,688.52 is: 219,016.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,971.92 : 394,688.46 = 158,688.52 : x
  2. Step 2: Convert to fraction form
    285,971.92/394,688.46 = 158,688.52/x
  3. Step 3: Cross multiply
    285,971.92x = 394,688.46 × 158,688.52
  4. Step 4: Simplify right side
    285,971.92x = 62,632,527,578.48
  5. Step 5: Solve for x
    x = 62,632,527,578.48/285,971.92
  6. Step 6: Final answer
    x = 219,016.36

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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.