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Finding the Fourth Proportional to 470,851.26, 649,761.39 and 255,986.34

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Solution

The fourth proportional to 470,851.26, 649,761.39 and 255,986.34 is: 353,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,851.26 : 649,761.39 = 255,986.34 : x
  2. Step 2: Convert to fraction form
    470,851.26/649,761.39 = 255,986.34/x
  3. Step 3: Cross multiply
    470,851.26x = 649,761.39 × 255,986.34
  4. Step 4: Simplify right side
    470,851.26x = 166,330,040,099.41
  5. Step 5: Solve for x
    x = 166,330,040,099.41/470,851.26
  6. Step 6: Final answer
    x = 353,253.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.