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Finding the Fourth Proportional to 285,793.80, 394,376.22 and 158,464.68

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Solution

The fourth proportional to 285,793.80, 394,376.22 and 158,464.68 is: 218,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,793.80 : 394,376.22 = 158,464.68 : x
  2. Step 2: Convert to fraction form
    285,793.80/394,376.22 = 158,464.68/x
  3. Step 3: Cross multiply
    285,793.80x = 394,376.22 × 158,464.68
  4. Step 4: Simplify right side
    285,793.80x = 62,494,701,501.91
  5. Step 5: Solve for x
    x = 62,494,701,501.91/285,793.80
  6. Step 6: Final answer
    x = 218,670.60

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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.