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Finding the Fourth Proportional to 538,963.85, 806,764.20 and 396,969.46

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Solution

The fourth proportional to 538,963.85, 806,764.20 and 396,969.46 is: 594,215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,963.85 : 806,764.20 = 396,969.46 : x
  2. Step 2: Convert to fraction form
    538,963.85/806,764.20 = 396,969.46/x
  3. Step 3: Cross multiply
    538,963.85x = 806,764.20 × 396,969.46
  4. Step 4: Simplify right side
    538,963.85x = 320,260,747,548.74
  5. Step 5: Solve for x
    x = 320,260,747,548.74/538,963.85
  6. Step 6: Final answer
    x = 594,215.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.