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Finding the Fourth Proportional to 685,775, 946,379.28 and 395,380.82

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Solution

The fourth proportional to 685,775, 946,379.28 and 395,380.82 is: 545,631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,775 : 946,379.28 = 395,380.82 : x
  2. Step 2: Convert to fraction form
    685,775/946,379.28 = 395,380.82/x
  3. Step 3: Cross multiply
    685,775x = 946,379.28 × 395,380.82
  4. Step 4: Simplify right side
    685,775x = 374,180,215,757.41
  5. Step 5: Solve for x
    x = 374,180,215,757.41/685,775
  6. Step 6: Final answer
    x = 545,631.17

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1.5x scale

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.