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Finding the Fourth Proportional to 286,138.32, 394,870.86 and 158,813.88

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Solution

The fourth proportional to 286,138.32, 394,870.86 and 158,813.88 is: 219,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,138.32 : 394,870.86 = 158,813.88 : x
  2. Step 2: Convert to fraction form
    286,138.32/394,870.86 = 158,813.88/x
  3. Step 3: Cross multiply
    286,138.32x = 394,870.86 × 158,813.88
  4. Step 4: Simplify right side
    286,138.32x = 62,710,973,375.54
  5. Step 5: Solve for x
    x = 62,710,973,375.54/286,138.32
  6. Step 6: Final answer
    x = 219,163.14

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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.