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Finding the Fourth Proportional to 485,274.92, 728,321.34 and 204,993.32

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Solution

The fourth proportional to 485,274.92, 728,321.34 and 204,993.32 is: 307,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,274.92 : 728,321.34 = 204,993.32 : x
  2. Step 2: Convert to fraction form
    485,274.92/728,321.34 = 204,993.32/x
  3. Step 3: Cross multiply
    485,274.92x = 728,321.34 × 204,993.32
  4. Step 4: Simplify right side
    485,274.92x = 149,301,009,513.45
  5. Step 5: Solve for x
    x = 149,301,009,513.45/485,274.92
  6. Step 6: Final answer
    x = 307,662.74

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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.