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Finding the Fourth Proportional to 319,488, 440,893.44 and 178,176

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Solution

The fourth proportional to 319,488, 440,893.44 and 178,176 is: 245,882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,488 : 440,893.44 = 178,176 : x
  2. Step 2: Convert to fraction form
    319,488/440,893.44 = 178,176/x
  3. Step 3: Cross multiply
    319,488x = 440,893.44 × 178,176
  4. Step 4: Simplify right side
    319,488x = 78,556,629,565.44
  5. Step 5: Solve for x
    x = 78,556,629,565.44/319,488
  6. Step 6: Final answer
    x = 245,882.88

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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.