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Finding the Fourth Proportional to 311,976.96, 467,946 and 90,360.96

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Solution

The fourth proportional to 311,976.96, 467,946 and 90,360.96 is: 135,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,976.96 : 467,946 = 90,360.96 : x
  2. Step 2: Convert to fraction form
    311,976.96/467,946 = 90,360.96/x
  3. Step 3: Cross multiply
    311,976.96x = 467,946 × 90,360.96
  4. Step 4: Simplify right side
    311,976.96x = 42,284,049,788.16
  5. Step 5: Solve for x
    x = 42,284,049,788.16/311,976.96
  6. Step 6: Final answer
    x = 135,535.81

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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.