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Finding the Fourth Proportional to 321,874.46, 482,756.96 and 85,241.06

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Solution

The fourth proportional to 321,874.46, 482,756.96 and 85,241.06 is: 127,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,874.46 : 482,756.96 = 85,241.06 : x
  2. Step 2: Convert to fraction form
    321,874.46/482,756.96 = 85,241.06/x
  3. Step 3: Cross multiply
    321,874.46x = 482,756.96 × 85,241.06
  4. Step 4: Simplify right side
    321,874.46x = 41,150,714,602.43
  5. Step 5: Solve for x
    x = 41,150,714,602.43/321,874.46
  6. Step 6: Final answer
    x = 127,847.10

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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.