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Finding the Fourth Proportional to 620,630,120,180.40, 930,945,180,270.48 and 620,630,120,180.40

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Solution

The fourth proportional to 620,630,120,180.40, 930,945,180,270.48 and 620,630,120,180.40 is: 930,945,180,270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,630,120,180.40 : 930,945,180,270.48 = 620,630,120,180.40 : x
  2. Step 2: Convert to fraction form
    620,630,120,180.40/930,945,180,270.48 = 620,630,120,180.40/x
  3. Step 3: Cross multiply
    620,630,120,180.40x = 930,945,180,270.48 × 620,630,120,180.40
  4. Step 4: Simplify right side
    620,630,120,180.40x = 577,772,619,112,632,159,305,728
  5. Step 5: Solve for x
    x = 577,772,619,112,632,159,305,728/620,630,120,180.40
  6. Step 6: Final answer
    x = 930,945,180,270.48

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Double scale
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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.