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Finding the Fourth Proportional to 512,085, 767,922.12 and 212,361.96

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Solution

The fourth proportional to 512,085, 767,922.12 and 212,361.96 is: 318,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,085 : 767,922.12 = 212,361.96 : x
  2. Step 2: Convert to fraction form
    512,085/767,922.12 = 212,361.96/x
  3. Step 3: Cross multiply
    512,085x = 767,922.12 × 212,361.96
  4. Step 4: Simplify right side
    512,085x = 163,077,446,530.56
  5. Step 5: Solve for x
    x = 163,077,446,530.56/512,085
  6. Step 6: Final answer
    x = 318,457.77

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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.