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Finding the Fourth Proportional to 312,257.72, 468,387.74 and 75,600.04

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Solution

The fourth proportional to 312,257.72, 468,387.74 and 75,600.04 is: 113,400.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,257.72 : 468,387.74 = 75,600.04 : x
  2. Step 2: Convert to fraction form
    312,257.72/468,387.74 = 75,600.04/x
  3. Step 3: Cross multiply
    312,257.72x = 468,387.74 × 75,600.04
  4. Step 4: Simplify right side
    312,257.72x = 35,410,131,879.51
  5. Step 5: Solve for x
    x = 35,410,131,879.51/312,257.72
  6. Step 6: Final answer
    x = 113,400.34

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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.