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Finding the Fourth Proportional to 378,211.60, 567,317.40 and 200,627.20

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Solution

The fourth proportional to 378,211.60, 567,317.40 and 200,627.20 is: 300,940.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,211.60 : 567,317.40 = 200,627.20 : x
  2. Step 2: Convert to fraction form
    378,211.60/567,317.40 = 200,627.20/x
  3. Step 3: Cross multiply
    378,211.60x = 567,317.40 × 200,627.20
  4. Step 4: Simplify right side
    378,211.60x = 113,819,301,473.28
  5. Step 5: Solve for x
    x = 113,819,301,473.28/378,211.60
  6. Step 6: Final answer
    x = 300,940.80

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1.5x scale

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.