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Finding the Fourth Proportional to 213,608.78, 320,224.60 and 80,582.45

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Solution

The fourth proportional to 213,608.78, 320,224.60 and 80,582.45 is: 120,802.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,608.78 : 320,224.60 = 80,582.45 : x
  2. Step 2: Convert to fraction form
    213,608.78/320,224.60 = 80,582.45/x
  3. Step 3: Cross multiply
    213,608.78x = 320,224.60 × 80,582.45
  4. Step 4: Simplify right side
    213,608.78x = 25,804,482,415.36
  5. Step 5: Solve for x
    x = 25,804,482,415.36/213,608.78
  6. Step 6: Final answer
    x = 120,802.54

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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.