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Finding the Fourth Proportional to 647,128.47, 970,695.27 and 197,847.39

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Solution

The fourth proportional to 647,128.47, 970,695.27 and 197,847.39 is: 296,771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,128.47 : 970,695.27 = 197,847.39 : x
  2. Step 2: Convert to fraction form
    647,128.47/970,695.27 = 197,847.39/x
  3. Step 3: Cross multiply
    647,128.47x = 970,695.27 × 197,847.39
  4. Step 4: Simplify right side
    647,128.47x = 192,049,525,654.85
  5. Step 5: Solve for x
    x = 192,049,525,654.85/647,128.47
  6. Step 6: Final answer
    x = 296,771.87

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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.