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Finding the Fourth Proportional to 458,245.96, 687,380.46 and 125,821

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Solution

The fourth proportional to 458,245.96, 687,380.46 and 125,821 is: 188,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,245.96 : 687,380.46 = 125,821 : x
  2. Step 2: Convert to fraction form
    458,245.96/687,380.46 = 125,821/x
  3. Step 3: Cross multiply
    458,245.96x = 687,380.46 × 125,821
  4. Step 4: Simplify right side
    458,245.96x = 86,486,896,857.66
  5. Step 5: Solve for x
    x = 86,486,896,857.66/458,245.96
  6. Step 6: Final answer
    x = 188,734.66

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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.