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Finding the Fourth Proportional to 685,782, 946,379.52 and 383,982.48

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Solution

The fourth proportional to 685,782, 946,379.52 and 383,982.48 is: 529,896.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,782 : 946,379.52 = 383,982.48 : x
  2. Step 2: Convert to fraction form
    685,782/946,379.52 = 383,982.48/x
  3. Step 3: Cross multiply
    685,782x = 946,379.52 × 383,982.48
  4. Step 4: Simplify right side
    685,782x = 363,393,155,110.81
  5. Step 5: Solve for x
    x = 363,393,155,110.81/685,782
  6. Step 6: Final answer
    x = 529,896.02

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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.