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Finding the Fourth Proportional to 277,591.20, 415,730.70 and 188,361.60

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Solution

The fourth proportional to 277,591.20, 415,730.70 and 188,361.60 is: 282,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,591.20 : 415,730.70 = 188,361.60 : x
  2. Step 2: Convert to fraction form
    277,591.20/415,730.70 = 188,361.60/x
  3. Step 3: Cross multiply
    277,591.20x = 415,730.70 × 188,361.60
  4. Step 4: Simplify right side
    277,591.20x = 78,307,699,821.12
  5. Step 5: Solve for x
    x = 78,307,699,821.12/277,591.20
  6. Step 6: Final answer
    x = 282,097.20

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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.