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Finding the Fourth Proportional to 647,399.52, 971,215.92 and 198,112.32

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Solution

The fourth proportional to 647,399.52, 971,215.92 and 198,112.32 is: 297,204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,399.52 : 971,215.92 = 198,112.32 : x
  2. Step 2: Convert to fraction form
    647,399.52/971,215.92 = 198,112.32/x
  3. Step 3: Cross multiply
    647,399.52x = 971,215.92 × 198,112.32
  4. Step 4: Simplify right side
    647,399.52x = 192,409,839,132.13
  5. Step 5: Solve for x
    x = 192,409,839,132.13/647,399.52
  6. Step 6: Final answer
    x = 297,204.17

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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.