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Finding the Fourth Proportional to 620,630,120,120.60, 930,945,180,180.90 and 620,630,120,120.60

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Solution

The fourth proportional to 620,630,120,120.60, 930,945,180,180.90 and 620,630,120,120.60 is: 930,945,180,180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,630,120,120.60 : 930,945,180,180.90 = 620,630,120,120.60 : x
  2. Step 2: Convert to fraction form
    620,630,120,120.60/930,945,180,180.90 = 620,630,120,120.60/x
  3. Step 3: Cross multiply
    620,630,120,120.60x = 930,945,180,180.90 × 620,630,120,120.60
  4. Step 4: Simplify right side
    620,630,120,120.60x = 577,772,619,001,365,595,684,864
  5. Step 5: Solve for x
    x = 577,772,619,001,365,595,684,864/620,630,120,120.60
  6. Step 6: Final answer
    x = 930,945,180,180.90

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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.