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Finding the Fourth Proportional to 320,714.70, 480,942.45 and 110,244.30

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Solution

The fourth proportional to 320,714.70, 480,942.45 and 110,244.30 is: 165,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,714.70 : 480,942.45 = 110,244.30 : x
  2. Step 2: Convert to fraction form
    320,714.70/480,942.45 = 110,244.30/x
  3. Step 3: Cross multiply
    320,714.70x = 480,942.45 × 110,244.30
  4. Step 4: Simplify right side
    320,714.70x = 53,021,163,740.54
  5. Step 5: Solve for x
    x = 53,021,163,740.54/320,714.70
  6. Step 6: Final answer
    x = 165,321.90

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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.