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Finding the Fourth Proportional to 492,771.80, 680,023.35 and 277,910.60

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Solution

The fourth proportional to 492,771.80, 680,023.35 and 277,910.60 is: 383,515.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,771.80 : 680,023.35 = 277,910.60 : x
  2. Step 2: Convert to fraction form
    492,771.80/680,023.35 = 277,910.60/x
  3. Step 3: Cross multiply
    492,771.80x = 680,023.35 × 277,910.60
  4. Step 4: Simplify right side
    492,771.80x = 188,985,693,812.39
  5. Step 5: Solve for x
    x = 188,985,693,812.39/492,771.80
  6. Step 6: Final answer
    x = 383,515.64

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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.