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Finding the Fourth Proportional to 496,896.78, 685,720.83 and 282,040.45

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Solution

The fourth proportional to 496,896.78, 685,720.83 and 282,040.45 is: 389,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,896.78 : 685,720.83 = 282,040.45 : x
  2. Step 2: Convert to fraction form
    496,896.78/685,720.83 = 282,040.45/x
  3. Step 3: Cross multiply
    496,896.78x = 685,720.83 × 282,040.45
  4. Step 4: Simplify right side
    496,896.78x = 193,401,011,467.57
  5. Step 5: Solve for x
    x = 193,401,011,467.57/496,896.78
  6. Step 6: Final answer
    x = 389,217.68

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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.