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Finding the Fourth Proportional to 285,735.88, 428,516.32 and 197,556.04

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Solution

The fourth proportional to 285,735.88, 428,516.32 and 197,556.04 is: 296,273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,735.88 : 428,516.32 = 197,556.04 : x
  2. Step 2: Convert to fraction form
    285,735.88/428,516.32 = 197,556.04/x
  3. Step 3: Cross multiply
    285,735.88x = 428,516.32 × 197,556.04
  4. Step 4: Simplify right side
    285,735.88x = 84,655,987,254.57
  5. Step 5: Solve for x
    x = 84,655,987,254.57/285,735.88
  6. Step 6: Final answer
    x = 296,273.56

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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.