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Finding the Fourth Proportional to 378,712.80, 522,624.96 and 206,629.92

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Solution

The fourth proportional to 378,712.80, 522,624.96 and 206,629.92 is: 285,150.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,712.80 : 522,624.96 = 206,629.92 : x
  2. Step 2: Convert to fraction form
    378,712.80/522,624.96 = 206,629.92/x
  3. Step 3: Cross multiply
    378,712.80x = 522,624.96 × 206,629.92
  4. Step 4: Simplify right side
    378,712.80x = 107,989,953,674.80
  5. Step 5: Solve for x
    x = 107,989,953,674.80/378,712.80
  6. Step 6: Final answer
    x = 285,150.00

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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.