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Finding the Fourth Proportional to 321,684.48, 443,977.88 and 178,490.66

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Solution

The fourth proportional to 321,684.48, 443,977.88 and 178,490.66 is: 246,346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,684.48 : 443,977.88 = 178,490.66 : x
  2. Step 2: Convert to fraction form
    321,684.48/443,977.88 = 178,490.66/x
  3. Step 3: Cross multiply
    321,684.48x = 443,977.88 × 178,490.66
  4. Step 4: Simplify right side
    321,684.48x = 79,245,901,714.26
  5. Step 5: Solve for x
    x = 79,245,901,714.26/321,684.48
  6. Step 6: Final answer
    x = 246,346.67

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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.