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Finding the Fourth Proportional to 458,321.26, 687,500.50 and 218,311.78

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Solution

The fourth proportional to 458,321.26, 687,500.50 and 218,311.78 is: 327,476.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,321.26 : 687,500.50 = 218,311.78 : x
  2. Step 2: Convert to fraction form
    458,321.26/687,500.50 = 218,311.78/x
  3. Step 3: Cross multiply
    458,321.26x = 687,500.50 × 218,311.78
  4. Step 4: Simplify right side
    458,321.26x = 150,089,457,905.89
  5. Step 5: Solve for x
    x = 150,089,457,905.89/458,321.26
  6. Step 6: Final answer
    x = 327,476.53

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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.