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Finding the Fourth Proportional to 320,418.60, 479,971.80 and 162,735.90

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Solution

The fourth proportional to 320,418.60, 479,971.80 and 162,735.90 is: 243,770.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,418.60 : 479,971.80 = 162,735.90 : x
  2. Step 2: Convert to fraction form
    320,418.60/479,971.80 = 162,735.90/x
  3. Step 3: Cross multiply
    320,418.60x = 479,971.80 × 162,735.90
  4. Step 4: Simplify right side
    320,418.60x = 78,108,642,847.62
  5. Step 5: Solve for x
    x = 78,108,642,847.62/320,418.60
  6. Step 6: Final answer
    x = 243,770.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.