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Finding the Fourth Proportional to 290,046.99, 434,915.64 and 100,458.66

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Solution

The fourth proportional to 290,046.99, 434,915.64 and 100,458.66 is: 150,634.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,046.99 : 434,915.64 = 100,458.66 : x
  2. Step 2: Convert to fraction form
    290,046.99/434,915.64 = 100,458.66/x
  3. Step 3: Cross multiply
    290,046.99x = 434,915.64 × 100,458.66
  4. Step 4: Simplify right side
    290,046.99x = 43,691,042,407.44
  5. Step 5: Solve for x
    x = 43,691,042,407.44/290,046.99
  6. Step 6: Final answer
    x = 150,634.36

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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.