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Finding the Fourth Proportional to 647,295.25, 970,907.66 and 198,016.12

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Solution

The fourth proportional to 647,295.25, 970,907.66 and 198,016.12 is: 297,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,295.25 : 970,907.66 = 198,016.12 : x
  2. Step 2: Convert to fraction form
    647,295.25/970,907.66 = 198,016.12/x
  3. Step 3: Cross multiply
    647,295.25x = 970,907.66 × 198,016.12
  4. Step 4: Simplify right side
    647,295.25x = 192,255,368,719.27
  5. Step 5: Solve for x
    x = 192,255,368,719.27/647,295.25
  6. Step 6: Final answer
    x = 297,013.41

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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.