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Finding the Fourth Proportional to 312,076.80, 468,115.20 and 112,492.80

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Solution

The fourth proportional to 312,076.80, 468,115.20 and 112,492.80 is: 168,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,076.80 : 468,115.20 = 112,492.80 : x
  2. Step 2: Convert to fraction form
    312,076.80/468,115.20 = 112,492.80/x
  3. Step 3: Cross multiply
    312,076.80x = 468,115.20 × 112,492.80
  4. Step 4: Simplify right side
    312,076.80x = 52,659,589,570.56
  5. Step 5: Solve for x
    x = 52,659,589,570.56/312,076.80
  6. Step 6: Final answer
    x = 168,739.20

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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.