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Finding the Fourth Proportional to 313,790.60, 470,420.62 and 136,163.27

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Solution

The fourth proportional to 313,790.60, 470,420.62 and 136,163.27 is: 204,129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,790.60 : 470,420.62 = 136,163.27 : x
  2. Step 2: Convert to fraction form
    313,790.60/470,420.62 = 136,163.27/x
  3. Step 3: Cross multiply
    313,790.60x = 470,420.62 × 136,163.27
  4. Step 4: Simplify right side
    313,790.60x = 64,054,007,202.12
  5. Step 5: Solve for x
    x = 64,054,007,202.12/313,790.60
  6. Step 6: Final answer
    x = 204,129.79

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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.