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Finding the Fourth Proportional to 647,464.12, 971,160.64 and 198,184.62

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Solution

The fourth proportional to 647,464.12, 971,160.64 and 198,184.62 is: 297,266.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,464.12 : 971,160.64 = 198,184.62 : x
  2. Step 2: Convert to fraction form
    647,464.12/971,160.64 = 198,184.62/x
  3. Step 3: Cross multiply
    647,464.12x = 971,160.64 × 198,184.62
  4. Step 4: Simplify right side
    647,464.12x = 192,469,105,543.75
  5. Step 5: Solve for x
    x = 192,469,105,543.75/647,464.12
  6. Step 6: Final answer
    x = 297,266.06

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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.