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Finding the Fourth Proportional to 321,447.80, 443,608.44 and 178,221.16

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Solution

The fourth proportional to 321,447.80, 443,608.44 and 178,221.16 is: 245,951.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,447.80 : 443,608.44 = 178,221.16 : x
  2. Step 2: Convert to fraction form
    321,447.80/443,608.44 = 178,221.16/x
  3. Step 3: Cross multiply
    321,447.80x = 443,608.44 × 178,221.16
  4. Step 4: Simplify right side
    321,447.80x = 79,060,410,762.59
  5. Step 5: Solve for x
    x = 79,060,410,762.59/321,447.80
  6. Step 6: Final answer
    x = 245,951.01

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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.