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Finding the Fourth Proportional to 378,687, 522,576.69 and 206,608.35

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Solution

The fourth proportional to 378,687, 522,576.69 and 206,608.35 is: 285,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,687 : 522,576.69 = 206,608.35 : x
  2. Step 2: Convert to fraction form
    378,687/522,576.69 = 206,608.35/x
  3. Step 3: Cross multiply
    378,687x = 522,576.69 × 206,608.35
  4. Step 4: Simplify right side
    378,687x = 107,968,707,669.36
  5. Step 5: Solve for x
    x = 107,968,707,669.36/378,687
  6. Step 6: Final answer
    x = 285,113.32

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1.5x scale

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.