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Finding the Fourth Proportional to 313,941.78, 470,912.67 and 92,325.78

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Solution

The fourth proportional to 313,941.78, 470,912.67 and 92,325.78 is: 138,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,941.78 : 470,912.67 = 92,325.78 : x
  2. Step 2: Convert to fraction form
    313,941.78/470,912.67 = 92,325.78/x
  3. Step 3: Cross multiply
    313,941.78x = 470,912.67 × 92,325.78
  4. Step 4: Simplify right side
    313,941.78x = 43,477,379,569.63
  5. Step 5: Solve for x
    x = 43,477,379,569.63/313,941.78
  6. Step 6: Final answer
    x = 138,488.67

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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.