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Finding the Fourth Proportional to 254,819.45, 382,231.49 and 77,326.47

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Solution

The fourth proportional to 254,819.45, 382,231.49 and 77,326.47 is: 115,990.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,819.45 : 382,231.49 = 77,326.47 : x
  2. Step 2: Convert to fraction form
    254,819.45/382,231.49 = 77,326.47/x
  3. Step 3: Cross multiply
    254,819.45x = 382,231.49 × 77,326.47
  4. Step 4: Simplify right side
    254,819.45x = 29,556,611,844.54
  5. Step 5: Solve for x
    x = 29,556,611,844.54/254,819.45
  6. Step 6: Final answer
    x = 115,990.41

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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.