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Finding the Fourth Proportional to 311,846.60, 467,780.70 and 98,616.80

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Solution

The fourth proportional to 311,846.60, 467,780.70 and 98,616.80 is: 147,928.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,846.60 : 467,780.70 = 98,616.80 : x
  2. Step 2: Convert to fraction form
    311,846.60/467,780.70 = 98,616.80/x
  3. Step 3: Cross multiply
    311,846.60x = 467,780.70 × 98,616.80
  4. Step 4: Simplify right side
    311,846.60x = 46,131,035,735.76
  5. Step 5: Solve for x
    x = 46,131,035,735.76/311,846.60
  6. Step 6: Final answer
    x = 147,928.62

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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.