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Finding the Fourth Proportional to 378,852.93, 522,800.73 and 206,766.54

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Solution

The fourth proportional to 378,852.93, 522,800.73 and 206,766.54 is: 285,328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,852.93 : 522,800.73 = 206,766.54 : x
  2. Step 2: Convert to fraction form
    378,852.93/522,800.73 = 206,766.54/x
  3. Step 3: Cross multiply
    378,852.93x = 522,800.73 × 206,766.54
  4. Step 4: Simplify right side
    378,852.93x = 108,097,698,051.57
  5. Step 5: Solve for x
    x = 108,097,698,051.57/378,852.93
  6. Step 6: Final answer
    x = 285,328.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.