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Finding the Fourth Proportional to 647,297.32, 970,790.08 and 198,022.08

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Solution

The fourth proportional to 647,297.32, 970,790.08 and 198,022.08 is: 296,985.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,297.32 : 970,790.08 = 198,022.08 : x
  2. Step 2: Convert to fraction form
    647,297.32/970,790.08 = 198,022.08/x
  3. Step 3: Cross multiply
    647,297.32x = 970,790.08 × 198,022.08
  4. Step 4: Simplify right side
    647,297.32x = 192,237,870,884.97
  5. Step 5: Solve for x
    x = 192,237,870,884.97/647,297.32
  6. Step 6: Final answer
    x = 296,985.43

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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.