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Finding the Fourth Proportional to 485,647.11, 728,295.71 and 205,186.23

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Solution

The fourth proportional to 485,647.11, 728,295.71 and 205,186.23 is: 307,705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,647.11 : 728,295.71 = 205,186.23 : x
  2. Step 2: Convert to fraction form
    485,647.11/728,295.71 = 205,186.23/x
  3. Step 3: Cross multiply
    485,647.11x = 728,295.71 × 205,186.23
  4. Step 4: Simplify right side
    485,647.11x = 149,436,250,034.14
  5. Step 5: Solve for x
    x = 149,436,250,034.14/485,647.11
  6. Step 6: Final answer
    x = 307,705.42

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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.