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Finding the Fourth Proportional to 321,279, 443,374.74 and 178,025.64

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Solution

The fourth proportional to 321,279, 443,374.74 and 178,025.64 is: 245,680.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,279 : 443,374.74 = 178,025.64 : x
  2. Step 2: Convert to fraction form
    321,279/443,374.74 = 178,025.64/x
  3. Step 3: Cross multiply
    321,279x = 443,374.74 × 178,025.64
  4. Step 4: Simplify right side
    321,279x = 78,932,071,848.33
  5. Step 5: Solve for x
    x = 78,932,071,848.33/321,279
  6. Step 6: Final answer
    x = 245,680.77

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1.5x scale

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.