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Finding the Fourth Proportional to 647,144.67, 970,717.01 and 197,865.55

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Solution

The fourth proportional to 647,144.67, 970,717.01 and 197,865.55 is: 296,798.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,144.67 : 970,717.01 = 197,865.55 : x
  2. Step 2: Convert to fraction form
    647,144.67/970,717.01 = 197,865.55/x
  3. Step 3: Cross multiply
    647,144.67x = 970,717.01 × 197,865.55
  4. Step 4: Simplify right side
    647,144.67x = 192,071,455,078.01
  5. Step 5: Solve for x
    x = 192,071,455,078.01/647,144.67
  6. Step 6: Final answer
    x = 296,798.33

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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.