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Finding the Fourth Proportional to 496,921.16, 685,759.50 and 282,067.82

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Solution

The fourth proportional to 496,921.16, 685,759.50 and 282,067.82 is: 389,258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,921.16 : 685,759.50 = 282,067.82 : x
  2. Step 2: Convert to fraction form
    496,921.16/685,759.50 = 282,067.82/x
  3. Step 3: Cross multiply
    496,921.16x = 685,759.50 × 282,067.82
  4. Step 4: Simplify right side
    496,921.16x = 193,430,687,209.29
  5. Step 5: Solve for x
    x = 193,430,687,209.29/496,921.16
  6. Step 6: Final answer
    x = 389,258.30

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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.