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Finding the Fourth Proportional to 285,728.42, 394,314.82 and 158,396.42

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Solution

The fourth proportional to 285,728.42, 394,314.82 and 158,396.42 is: 218,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,728.42 : 394,314.82 = 158,396.42 : x
  2. Step 2: Convert to fraction form
    285,728.42/394,314.82 = 158,396.42/x
  3. Step 3: Cross multiply
    285,728.42x = 394,314.82 × 158,396.42
  4. Step 4: Simplify right side
    285,728.42x = 62,458,055,840.94
  5. Step 5: Solve for x
    x = 62,458,055,840.94/285,728.42
  6. Step 6: Final answer
    x = 218,592.38

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1.5x scale

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.