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Finding the Fourth Proportional to 277,584.20, 415,720.20 and 188,354.60

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Solution

The fourth proportional to 277,584.20, 415,720.20 and 188,354.60 is: 282,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,584.20 : 415,720.20 = 188,354.60 : x
  2. Step 2: Convert to fraction form
    277,584.20/415,720.20 = 188,354.60/x
  3. Step 3: Cross multiply
    277,584.20x = 415,720.20 × 188,354.60
  4. Step 4: Simplify right side
    277,584.20x = 78,302,811,982.92
  5. Step 5: Solve for x
    x = 78,302,811,982.92/277,584.20
  6. Step 6: Final answer
    x = 282,086.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.