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Finding the Fourth Proportional to 285,400.70, 428,121.05 and 114,622.43

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Solution

The fourth proportional to 285,400.70, 428,121.05 and 114,622.43 is: 171,941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,400.70 : 428,121.05 = 114,622.43 : x
  2. Step 2: Convert to fraction form
    285,400.70/428,121.05 = 114,622.43/x
  3. Step 3: Cross multiply
    285,400.70x = 428,121.05 × 114,622.43
  4. Step 4: Simplify right side
    285,400.70x = 49,072,274,177.57
  5. Step 5: Solve for x
    x = 49,072,274,177.57/285,400.70
  6. Step 6: Final answer
    x = 171,941.67

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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.