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Finding the Fourth Proportional to 647,633.30, 971,522.85 and 198,350.60

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Solution

The fourth proportional to 647,633.30, 971,522.85 and 198,350.60 is: 297,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,633.30 : 971,522.85 = 198,350.60 : x
  2. Step 2: Convert to fraction form
    647,633.30/971,522.85 = 198,350.60/x
  3. Step 3: Cross multiply
    647,633.30x = 971,522.85 × 198,350.60
  4. Step 4: Simplify right side
    647,633.30x = 192,702,140,211.21
  5. Step 5: Solve for x
    x = 192,702,140,211.21/647,633.30
  6. Step 6: Final answer
    x = 297,548.23

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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.