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Finding the Fourth Proportional to 458,309.68, 687,375.40 and 230,544.56

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Solution

The fourth proportional to 458,309.68, 687,375.40 and 230,544.56 is: 345,772.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,309.68 : 687,375.40 = 230,544.56 : x
  2. Step 2: Convert to fraction form
    458,309.68/687,375.40 = 230,544.56/x
  3. Step 3: Cross multiply
    458,309.68x = 687,375.40 × 230,544.56
  4. Step 4: Simplify right side
    458,309.68x = 158,470,659,147.82
  5. Step 5: Solve for x
    x = 158,470,659,147.82/458,309.68
  6. Step 6: Final answer
    x = 345,772.01

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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.