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Finding the Fourth Proportional to 286,208.87, 394,948.46 and 158,874.44

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Solution

The fourth proportional to 286,208.87, 394,948.46 and 158,874.44 is: 219,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,208.87 : 394,948.46 = 158,874.44 : x
  2. Step 2: Convert to fraction form
    286,208.87/394,948.46 = 158,874.44/x
  3. Step 3: Cross multiply
    286,208.87x = 394,948.46 × 158,874.44
  4. Step 4: Simplify right side
    286,208.87x = 62,747,214,616.99
  5. Step 5: Solve for x
    x = 62,747,214,616.99/286,208.87
  6. Step 6: Final answer
    x = 219,235.74

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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.