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Finding the Fourth Proportional to 370,694.28, 511,558.88 and 200,928.52

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Solution

The fourth proportional to 370,694.28, 511,558.88 and 200,928.52 is: 277,281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,694.28 : 511,558.88 = 200,928.52 : x
  2. Step 2: Convert to fraction form
    370,694.28/511,558.88 = 200,928.52/x
  3. Step 3: Cross multiply
    370,694.28x = 511,558.88 × 200,928.52
  4. Step 4: Simplify right side
    370,694.28x = 102,786,768,651.26
  5. Step 5: Solve for x
    x = 102,786,768,651.26/370,694.28
  6. Step 6: Final answer
    x = 277,281.78

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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.