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Finding the Fourth Proportional to 321,283.44, 481,825.53 and 257,954.40

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Solution

The fourth proportional to 321,283.44, 481,825.53 and 257,954.40 is: 386,851.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,283.44 : 481,825.53 = 257,954.40 : x
  2. Step 2: Convert to fraction form
    321,283.44/481,825.53 = 257,954.40/x
  3. Step 3: Cross multiply
    321,283.44x = 481,825.53 × 257,954.40
  4. Step 4: Simplify right side
    321,283.44x = 124,289,015,495.83
  5. Step 5: Solve for x
    x = 124,289,015,495.83/321,283.44
  6. Step 6: Final answer
    x = 386,851.61

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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.