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Finding the Fourth Proportional to 307,942.40, 461,978.40 and 97,601.60

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Solution

The fourth proportional to 307,942.40, 461,978.40 and 97,601.60 is: 146,422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,942.40 : 461,978.40 = 97,601.60 : x
  2. Step 2: Convert to fraction form
    307,942.40/461,978.40 = 97,601.60/x
  3. Step 3: Cross multiply
    307,942.40x = 461,978.40 × 97,601.60
  4. Step 4: Simplify right side
    307,942.40x = 45,089,831,005.44
  5. Step 5: Solve for x
    x = 45,089,831,005.44/307,942.40
  6. Step 6: Final answer
    x = 146,422.94

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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.