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Finding the Fourth Proportional to 321,408.18, 443,539.80 and 185,440.50

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Solution

The fourth proportional to 321,408.18, 443,539.80 and 185,440.50 is: 255,905.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,408.18 : 443,539.80 = 185,440.50 : x
  2. Step 2: Convert to fraction form
    321,408.18/443,539.80 = 185,440.50/x
  3. Step 3: Cross multiply
    321,408.18x = 443,539.80 × 185,440.50
  4. Step 4: Simplify right side
    321,408.18x = 82,250,242,281.90
  5. Step 5: Solve for x
    x = 82,250,242,281.90/321,408.18
  6. Step 6: Final answer
    x = 255,905.88

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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.