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Finding the Fourth Proportional to 285,872.42, 394,493.96 and 158,559.86

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Solution

The fourth proportional to 285,872.42, 394,493.96 and 158,559.86 is: 218,807.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,872.42 : 394,493.96 = 158,559.86 : x
  2. Step 2: Convert to fraction form
    285,872.42/394,493.96 = 158,559.86/x
  3. Step 3: Cross multiply
    285,872.42x = 394,493.96 × 158,559.86
  4. Step 4: Simplify right side
    285,872.42x = 62,550,908,451.08
  5. Step 5: Solve for x
    x = 62,550,908,451.08/285,872.42
  6. Step 6: Final answer
    x = 218,807.07

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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.