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Finding the Fourth Proportional to 313,328.94, 469,976.85 and 193,408.62

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Solution

The fourth proportional to 313,328.94, 469,976.85 and 193,408.62 is: 290,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,328.94 : 469,976.85 = 193,408.62 : x
  2. Step 2: Convert to fraction form
    313,328.94/469,976.85 = 193,408.62/x
  3. Step 3: Cross multiply
    313,328.94x = 469,976.85 × 193,408.62
  4. Step 4: Simplify right side
    313,328.94x = 90,897,573,990.45
  5. Step 5: Solve for x
    x = 90,897,573,990.45/313,328.94
  6. Step 6: Final answer
    x = 290,102.71

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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.