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Finding the Fourth Proportional to 321,260.58, 443,342.21 and 178,023.02

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Solution

The fourth proportional to 321,260.58, 443,342.21 and 178,023.02 is: 245,673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,260.58 : 443,342.21 = 178,023.02 : x
  2. Step 2: Convert to fraction form
    321,260.58/443,342.21 = 178,023.02/x
  3. Step 3: Cross multiply
    321,260.58x = 443,342.21 × 178,023.02
  4. Step 4: Simplify right side
    321,260.58x = 78,925,116,010.85
  5. Step 5: Solve for x
    x = 78,925,116,010.85/321,260.58
  6. Step 6: Final answer
    x = 245,673.20

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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.