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Finding the Fourth Proportional to 286,181.12, 394,947.84 and 158,858.84

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Solution

The fourth proportional to 286,181.12, 394,947.84 and 158,858.84 is: 219,235.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,181.12 : 394,947.84 = 158,858.84 : x
  2. Step 2: Convert to fraction form
    286,181.12/394,947.84 = 158,858.84/x
  3. Step 3: Cross multiply
    286,181.12x = 394,947.84 × 158,858.84
  4. Step 4: Simplify right side
    286,181.12x = 62,740,955,722.91
  5. Step 5: Solve for x
    x = 62,740,955,722.91/286,181.12
  6. Step 6: Final answer
    x = 219,235.13

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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.