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Finding the Fourth Proportional to 647,198.27, 970,937.54 and 247,839.06

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Solution

The fourth proportional to 647,198.27, 970,937.54 and 247,839.06 is: 371,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,198.27 : 970,937.54 = 247,839.06 : x
  2. Step 2: Convert to fraction form
    647,198.27/970,937.54 = 247,839.06/x
  3. Step 3: Cross multiply
    647,198.27x = 970,937.54 × 247,839.06
  4. Step 4: Simplify right side
    647,198.27x = 240,636,245,993.12
  5. Step 5: Solve for x
    x = 240,636,245,993.12/647,198.27
  6. Step 6: Final answer
    x = 371,812.25

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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.