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Finding the Fourth Proportional to 647,365.80, 971,121.60 and 198,083.10

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Solution

The fourth proportional to 647,365.80, 971,121.60 and 198,083.10 is: 297,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,365.80 : 971,121.60 = 198,083.10 : x
  2. Step 2: Convert to fraction form
    647,365.80/971,121.60 = 198,083.10/x
  3. Step 3: Cross multiply
    647,365.80x = 971,121.60 × 198,083.10
  4. Step 4: Simplify right side
    647,365.80x = 192,362,777,004.96
  5. Step 5: Solve for x
    x = 192,362,777,004.96/647,365.80
  6. Step 6: Final answer
    x = 297,146.96

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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.