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Finding the Fourth Proportional to 307,975.05, 461,978.87 and 97,629.39

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Solution

The fourth proportional to 307,975.05, 461,978.87 and 97,629.39 is: 146,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,975.05 : 461,978.87 = 97,629.39 : x
  2. Step 2: Convert to fraction form
    307,975.05/461,978.87 = 97,629.39/x
  3. Step 3: Cross multiply
    307,975.05x = 461,978.87 × 97,629.39
  4. Step 4: Simplify right side
    307,975.05x = 45,102,714,782.84
  5. Step 5: Solve for x
    x = 45,102,714,782.84/307,975.05
  6. Step 6: Final answer
    x = 146,449.25

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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.