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Finding the Fourth Proportional to 647,676.34, 971,579.32 and 198,392.02

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Solution

The fourth proportional to 647,676.34, 971,579.32 and 198,392.02 is: 297,607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,676.34 : 971,579.32 = 198,392.02 : x
  2. Step 2: Convert to fraction form
    647,676.34/971,579.32 = 198,392.02/x
  3. Step 3: Cross multiply
    647,676.34x = 971,579.32 × 198,392.02
  4. Step 4: Simplify right side
    647,676.34x = 192,753,583,885.03
  5. Step 5: Solve for x
    x = 192,753,583,885.03/647,676.34
  6. Step 6: Final answer
    x = 297,607.88

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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.