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Finding the Fourth Proportional to 647,676.84, 971,580.04 and 198,392.52

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Solution

The fourth proportional to 647,676.84, 971,580.04 and 198,392.52 is: 297,608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,676.84 : 971,580.04 = 198,392.52 : x
  2. Step 2: Convert to fraction form
    647,676.84/971,580.04 = 198,392.52/x
  3. Step 3: Cross multiply
    647,676.84x = 971,580.04 × 198,392.52
  4. Step 4: Simplify right side
    647,676.84x = 192,754,212,517.30
  5. Step 5: Solve for x
    x = 192,754,212,517.30/647,676.84
  6. Step 6: Final answer
    x = 297,608.62

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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.