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Finding the Fourth Proportional to 418,930.60, 627,704.70 and 208,114.60

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Solution

The fourth proportional to 418,930.60, 627,704.70 and 208,114.60 is: 311,828.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,930.60 : 627,704.70 = 208,114.60 : x
  2. Step 2: Convert to fraction form
    418,930.60/627,704.70 = 208,114.60/x
  3. Step 3: Cross multiply
    418,930.60x = 627,704.70 × 208,114.60
  4. Step 4: Simplify right side
    418,930.60x = 130,634,512,558.62
  5. Step 5: Solve for x
    x = 130,634,512,558.62/418,930.60
  6. Step 6: Final answer
    x = 311,828.53

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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.