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Finding the Fourth Proportional to 309,296, 463,944 and 75,824

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Solution

The fourth proportional to 309,296, 463,944 and 75,824 is: 113,736

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,296 : 463,944 = 75,824 : x
  2. Step 2: Convert to fraction form
    309,296/463,944 = 75,824/x
  3. Step 3: Cross multiply
    309,296x = 463,944 × 75,824
  4. Step 4: Simplify right side
    309,296x = 35,178,089,856
  5. Step 5: Solve for x
    x = 35,178,089,856/309,296
  6. Step 6: Final answer
    x = 113,736

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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.