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Finding the Fourth Proportional to 511,826.40, 762,486.66 and 488,797.38

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Solution

The fourth proportional to 511,826.40, 762,486.66 and 488,797.38 is: 728,179.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,826.40 : 762,486.66 = 488,797.38 : x
  2. Step 2: Convert to fraction form
    511,826.40/762,486.66 = 488,797.38/x
  3. Step 3: Cross multiply
    511,826.40x = 762,486.66 × 488,797.38
  4. Step 4: Simplify right side
    511,826.40x = 372,701,481,692.95
  5. Step 5: Solve for x
    x = 372,701,481,692.95/511,826.40
  6. Step 6: Final answer
    x = 728,179.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.