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Finding the Fourth Proportional to 324,072, 486,083.52 and 113,724

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Solution

The fourth proportional to 324,072, 486,083.52 and 113,724 is: 170,577.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,072 : 486,083.52 = 113,724 : x
  2. Step 2: Convert to fraction form
    324,072/486,083.52 = 113,724/x
  3. Step 3: Cross multiply
    324,072x = 486,083.52 × 113,724
  4. Step 4: Simplify right side
    324,072x = 55,279,362,228.48
  5. Step 5: Solve for x
    x = 55,279,362,228.48/324,072
  6. Step 6: Final answer
    x = 170,577.41

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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.