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Finding the Fourth Proportional to 681,759.88, 942,529.14 and 511,698.76

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Solution

The fourth proportional to 681,759.88, 942,529.14 and 511,698.76 is: 707,420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,759.88 : 942,529.14 = 511,698.76 : x
  2. Step 2: Convert to fraction form
    681,759.88/942,529.14 = 511,698.76/x
  3. Step 3: Cross multiply
    681,759.88x = 942,529.14 × 511,698.76
  4. Step 4: Simplify right side
    681,759.88x = 482,290,992,201.87
  5. Step 5: Solve for x
    x = 482,290,992,201.87/681,759.88
  6. Step 6: Final answer
    x = 707,420.61

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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.