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Finding the Fourth Proportional to 312,546.72, 468,768.24 and 112,828.80

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Solution

The fourth proportional to 312,546.72, 468,768.24 and 112,828.80 is: 169,224.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,546.72 : 468,768.24 = 112,828.80 : x
  2. Step 2: Convert to fraction form
    312,546.72/468,768.24 = 112,828.80/x
  3. Step 3: Cross multiply
    312,546.72x = 468,768.24 × 112,828.80
  4. Step 4: Simplify right side
    312,546.72x = 52,890,557,997.31
  5. Step 5: Solve for x
    x = 52,890,557,997.31/312,546.72
  6. Step 6: Final answer
    x = 169,224.49

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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.