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Finding the Fourth Proportional to 311,835.60, 467,764.20 and 98,605.80

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Solution

The fourth proportional to 311,835.60, 467,764.20 and 98,605.80 is: 147,912.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,835.60 : 467,764.20 = 98,605.80 : x
  2. Step 2: Convert to fraction form
    311,835.60/467,764.20 = 98,605.80/x
  3. Step 3: Cross multiply
    311,835.60x = 467,764.20 × 98,605.80
  4. Step 4: Simplify right side
    311,835.60x = 46,124,263,152.36
  5. Step 5: Solve for x
    x = 46,124,263,152.36/311,835.60
  6. Step 6: Final answer
    x = 147,912.12

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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.