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Finding the Fourth Proportional to 313,305.87, 470,035.35 and 100,073.85

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Solution

The fourth proportional to 313,305.87, 470,035.35 and 100,073.85 is: 150,135.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,305.87 : 470,035.35 = 100,073.85 : x
  2. Step 2: Convert to fraction form
    313,305.87/470,035.35 = 100,073.85/x
  3. Step 3: Cross multiply
    313,305.87x = 470,035.35 × 100,073.85
  4. Step 4: Simplify right side
    313,305.87x = 47,038,247,110.60
  5. Step 5: Solve for x
    x = 47,038,247,110.60/313,305.87
  6. Step 6: Final answer
    x = 150,135.22

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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.