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Finding the Fourth Proportional to 254,819.58, 382,231.68 and 77,326.59

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Solution

The fourth proportional to 254,819.58, 382,231.68 and 77,326.59 is: 115,990.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,819.58 : 382,231.68 = 77,326.59 : x
  2. Step 2: Convert to fraction form
    254,819.58/382,231.68 = 77,326.59/x
  3. Step 3: Cross multiply
    254,819.58x = 382,231.68 × 77,326.59
  4. Step 4: Simplify right side
    254,819.58x = 29,556,672,017.74
  5. Step 5: Solve for x
    x = 29,556,672,017.74/254,819.58
  6. Step 6: Final answer
    x = 115,990.58

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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.