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Finding the Fourth Proportional to 538,736.58, 808,104.84 and 511,797.78

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Solution

The fourth proportional to 538,736.58, 808,104.84 and 511,797.78 is: 767,696.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,736.58 : 808,104.84 = 511,797.78 : x
  2. Step 2: Convert to fraction form
    538,736.58/808,104.84 = 511,797.78/x
  3. Step 3: Cross multiply
    538,736.58x = 808,104.84 × 511,797.78
  4. Step 4: Simplify right side
    538,736.58x = 413,586,263,119.26
  5. Step 5: Solve for x
    x = 413,586,263,119.26/538,736.58
  6. Step 6: Final answer
    x = 767,696.64

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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.