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Finding the Fourth Proportional to 378,805.74, 522,762.94 and 206,734.77

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Solution

The fourth proportional to 378,805.74, 522,762.94 and 206,734.77 is: 285,300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,805.74 : 522,762.94 = 206,734.77 : x
  2. Step 2: Convert to fraction form
    378,805.74/522,762.94 = 206,734.77/x
  3. Step 3: Cross multiply
    378,805.74x = 522,762.94 × 206,734.77
  4. Step 4: Simplify right side
    378,805.74x = 108,073,276,165.42
  5. Step 5: Solve for x
    x = 108,073,276,165.42/378,805.74
  6. Step 6: Final answer
    x = 285,300.00

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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.