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Finding the Fourth Proportional to 647,771.46, 971,622.14 and 198,493.66

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Solution

The fourth proportional to 647,771.46, 971,622.14 and 198,493.66 is: 297,729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,771.46 : 971,622.14 = 198,493.66 : x
  2. Step 2: Convert to fraction form
    647,771.46/971,622.14 = 198,493.66/x
  3. Step 3: Cross multiply
    647,771.46x = 971,622.14 × 198,493.66
  4. Step 4: Simplify right side
    647,771.46x = 192,860,831,511.84
  5. Step 5: Solve for x
    x = 192,860,831,511.84/647,771.46
  6. Step 6: Final answer
    x = 297,729.74

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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.