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Finding the Fourth Proportional to 321,967.40, 444,319.94 and 178,736.68

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Solution

The fourth proportional to 321,967.40, 444,319.94 and 178,736.68 is: 246,659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,967.40 : 444,319.94 = 178,736.68 : x
  2. Step 2: Convert to fraction form
    321,967.40/444,319.94 = 178,736.68/x
  3. Step 3: Cross multiply
    321,967.40x = 444,319.94 × 178,736.68
  4. Step 4: Simplify right side
    321,967.40x = 79,416,270,933.40
  5. Step 5: Solve for x
    x = 79,416,270,933.40/321,967.40
  6. Step 6: Final answer
    x = 246,659.35

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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.