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Finding the Fourth Proportional to 485,406.36, 728,041.50 and 204,858

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Solution

The fourth proportional to 485,406.36, 728,041.50 and 204,858 is: 307,258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,406.36 : 728,041.50 = 204,858 : x
  2. Step 2: Convert to fraction form
    485,406.36/728,041.50 = 204,858/x
  3. Step 3: Cross multiply
    485,406.36x = 728,041.50 × 204,858
  4. Step 4: Simplify right side
    485,406.36x = 149,145,125,607
  5. Step 5: Solve for x
    x = 149,145,125,607/485,406.36
  6. Step 6: Final answer
    x = 307,258.28

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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.