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Finding the Fourth Proportional to 307,878.54, 461,964.03 and 213,254.34

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Solution

The fourth proportional to 307,878.54, 461,964.03 and 213,254.34 is: 319,982.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,878.54 : 461,964.03 = 213,254.34 : x
  2. Step 2: Convert to fraction form
    307,878.54/461,964.03 = 213,254.34/x
  3. Step 3: Cross multiply
    307,878.54x = 461,964.03 × 213,254.34
  4. Step 4: Simplify right side
    307,878.54x = 98,515,831,789.32
  5. Step 5: Solve for x
    x = 98,515,831,789.32/307,878.54
  6. Step 6: Final answer
    x = 319,982.79

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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.