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Finding the Fourth Proportional to 427,514.76, 641,222.93 and 111,996.27

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Solution

The fourth proportional to 427,514.76, 641,222.93 and 111,996.27 is: 167,981.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,514.76 : 641,222.93 = 111,996.27 : x
  2. Step 2: Convert to fraction form
    427,514.76/641,222.93 = 111,996.27/x
  3. Step 3: Cross multiply
    427,514.76x = 641,222.93 × 111,996.27
  4. Step 4: Simplify right side
    427,514.76x = 71,814,576,678.46
  5. Step 5: Solve for x
    x = 71,814,576,678.46/427,514.76
  6. Step 6: Final answer
    x = 167,981.51

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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.