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Finding the Fourth Proportional to 285,771.68, 394,364.24 and 158,444

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Solution

The fourth proportional to 285,771.68, 394,364.24 and 158,444 is: 218,652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,771.68 : 394,364.24 = 158,444 : x
  2. Step 2: Convert to fraction form
    285,771.68/394,364.24 = 158,444/x
  3. Step 3: Cross multiply
    285,771.68x = 394,364.24 × 158,444
  4. Step 4: Simplify right side
    285,771.68x = 62,484,647,642.56
  5. Step 5: Solve for x
    x = 62,484,647,642.56/285,771.68
  6. Step 6: Final answer
    x = 218,652.34

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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.