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Finding the Fourth Proportional to 312,644.44, 431,449.70 and 169,404.37

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Solution

The fourth proportional to 312,644.44, 431,449.70 and 169,404.37 is: 233,778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,644.44 : 431,449.70 = 169,404.37 : x
  2. Step 2: Convert to fraction form
    312,644.44/431,449.70 = 169,404.37/x
  3. Step 3: Cross multiply
    312,644.44x = 431,449.70 × 169,404.37
  4. Step 4: Simplify right side
    312,644.44x = 73,089,462,457.94
  5. Step 5: Solve for x
    x = 73,089,462,457.94/312,644.44
  6. Step 6: Final answer
    x = 233,778.23

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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.