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Finding the Fourth Proportional to 321,745.88, 443,988.06 and 178,501.16

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Solution

The fourth proportional to 321,745.88, 443,988.06 and 178,501.16 is: 246,319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,745.88 : 443,988.06 = 178,501.16 : x
  2. Step 2: Convert to fraction form
    321,745.88/443,988.06 = 178,501.16/x
  3. Step 3: Cross multiply
    321,745.88x = 443,988.06 × 178,501.16
  4. Step 4: Simplify right side
    321,745.88x = 79,252,383,736.15
  5. Step 5: Solve for x
    x = 79,252,383,736.15/321,745.88
  6. Step 6: Final answer
    x = 246,319.81

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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.