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Finding the Fourth Proportional to 494,782, 682,800.48 and 268,427.50

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Solution

The fourth proportional to 494,782, 682,800.48 and 268,427.50 is: 370,430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,782 : 682,800.48 = 268,427.50 : x
  2. Step 2: Convert to fraction form
    494,782/682,800.48 = 268,427.50/x
  3. Step 3: Cross multiply
    494,782x = 682,800.48 × 268,427.50
  4. Step 4: Simplify right side
    494,782x = 183,282,425,845.20
  5. Step 5: Solve for x
    x = 183,282,425,845.20/494,782
  6. Step 6: Final answer
    x = 370,430.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.