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Finding the Fourth Proportional to 422,517.50, 633,349.78 and 264,856.67

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Solution

The fourth proportional to 422,517.50, 633,349.78 and 264,856.67 is: 397,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,517.50 : 633,349.78 = 264,856.67 : x
  2. Step 2: Convert to fraction form
    422,517.50/633,349.78 = 264,856.67/x
  3. Step 3: Cross multiply
    422,517.50x = 633,349.78 × 264,856.67
  4. Step 4: Simplify right side
    422,517.50x = 167,746,909,847.14
  5. Step 5: Solve for x
    x = 167,746,909,847.14/422,517.50
  6. Step 6: Final answer
    x = 397,017.67

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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.