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Finding the Fourth Proportional to 647,105.28, 970,660.48 and 197,824.48

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Solution

The fourth proportional to 647,105.28, 970,660.48 and 197,824.48 is: 296,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,105.28 : 970,660.48 = 197,824.48 : x
  2. Step 2: Convert to fraction form
    647,105.28/970,660.48 = 197,824.48/x
  3. Step 3: Cross multiply
    647,105.28x = 970,660.48 × 197,824.48
  4. Step 4: Simplify right side
    647,105.28x = 192,020,404,712.55
  5. Step 5: Solve for x
    x = 192,020,404,712.55/647,105.28
  6. Step 6: Final answer
    x = 296,737.50

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1.5x scale

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.