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Finding the Fourth Proportional to 647,296.30, 971,017.35 and 198,013.60

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Solution

The fourth proportional to 647,296.30, 971,017.35 and 198,013.60 is: 297,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,296.30 : 971,017.35 = 198,013.60 : x
  2. Step 2: Convert to fraction form
    647,296.30/971,017.35 = 198,013.60/x
  3. Step 3: Cross multiply
    647,296.30x = 971,017.35 × 198,013.60
  4. Step 4: Simplify right side
    647,296.30x = 192,274,641,135.96
  5. Step 5: Solve for x
    x = 192,274,641,135.96/647,296.30
  6. Step 6: Final answer
    x = 297,042.70

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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.