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Finding the Fourth Proportional to 685,819.22, 946,397.64 and 379,874.96

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Solution

The fourth proportional to 685,819.22, 946,397.64 and 379,874.96 is: 524,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,819.22 : 946,397.64 = 379,874.96 : x
  2. Step 2: Convert to fraction form
    685,819.22/946,397.64 = 379,874.96/x
  3. Step 3: Cross multiply
    685,819.22x = 946,397.64 × 379,874.96
  4. Step 4: Simplify right side
    685,819.22x = 359,512,765,639.09
  5. Step 5: Solve for x
    x = 359,512,765,639.09/685,819.22
  6. Step 6: Final answer
    x = 524,209.23

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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.