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Finding the Fourth Proportional to 285,574.15, 394,105.12 and 158,241.54

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Solution

The fourth proportional to 285,574.15, 394,105.12 and 158,241.54 is: 218,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,574.15 : 394,105.12 = 158,241.54 : x
  2. Step 2: Convert to fraction form
    285,574.15/394,105.12 = 158,241.54/x
  3. Step 3: Cross multiply
    285,574.15x = 394,105.12 × 158,241.54
  4. Step 4: Simplify right side
    285,574.15x = 62,363,800,715.08
  5. Step 5: Solve for x
    x = 62,363,800,715.08/285,574.15
  6. Step 6: Final answer
    x = 218,380.41

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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.