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Finding the Fourth Proportional to 321,284.90, 443,375.73 and 178,047.32

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Solution

The fourth proportional to 321,284.90, 443,375.73 and 178,047.32 is: 245,706.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,284.90 : 443,375.73 = 178,047.32 : x
  2. Step 2: Convert to fraction form
    321,284.90/443,375.73 = 178,047.32/x
  3. Step 3: Cross multiply
    321,284.90x = 443,375.73 × 178,047.32
  4. Step 4: Simplify right side
    321,284.90x = 78,941,860,479.54
  5. Step 5: Solve for x
    x = 78,941,860,479.54/321,284.90
  6. Step 6: Final answer
    x = 245,706.72

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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.