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Finding the Fourth Proportional to 647,099.28, 970,651.48 and 197,818.48

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Solution

The fourth proportional to 647,099.28, 970,651.48 and 197,818.48 is: 296,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,099.28 : 970,651.48 = 197,818.48 : x
  2. Step 2: Convert to fraction form
    647,099.28/970,651.48 = 197,818.48/x
  3. Step 3: Cross multiply
    647,099.28x = 970,651.48 × 197,818.48
  4. Step 4: Simplify right side
    647,099.28x = 192,012,800,383.35
  5. Step 5: Solve for x
    x = 192,012,800,383.35/647,099.28
  6. Step 6: Final answer
    x = 296,728.50

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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.