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Finding the Fourth Proportional to 311,838.60, 467,768.70 and 98,608.80

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Solution

The fourth proportional to 311,838.60, 467,768.70 and 98,608.80 is: 147,916.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,838.60 : 467,768.70 = 98,608.80 : x
  2. Step 2: Convert to fraction form
    311,838.60/467,768.70 = 98,608.80/x
  3. Step 3: Cross multiply
    311,838.60x = 467,768.70 × 98,608.80
  4. Step 4: Simplify right side
    311,838.60x = 46,126,110,184.56
  5. Step 5: Solve for x
    x = 46,126,110,184.56/311,838.60
  6. Step 6: Final answer
    x = 147,916.62

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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.