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Finding the Fourth Proportional to 286,034.82, 428,991.48 and 108,479.58

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Solution

The fourth proportional to 286,034.82, 428,991.48 and 108,479.58 is: 162,696.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,034.82 : 428,991.48 = 108,479.58 : x
  2. Step 2: Convert to fraction form
    286,034.82/428,991.48 = 108,479.58/x
  3. Step 3: Cross multiply
    286,034.82x = 428,991.48 × 108,479.58
  4. Step 4: Simplify right side
    286,034.82x = 46,536,815,573.98
  5. Step 5: Solve for x
    x = 46,536,815,573.98/286,034.82
  6. Step 6: Final answer
    x = 162,696.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.