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Finding the Fourth Proportional to 205,999.20, 308,707.20 and 180,921.60

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Solution

The fourth proportional to 205,999.20, 308,707.20 and 180,921.60 is: 271,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,999.20 : 308,707.20 = 180,921.60 : x
  2. Step 2: Convert to fraction form
    205,999.20/308,707.20 = 180,921.60/x
  3. Step 3: Cross multiply
    205,999.20x = 308,707.20 × 180,921.60
  4. Step 4: Simplify right side
    205,999.20x = 55,851,800,555.52
  5. Step 5: Solve for x
    x = 55,851,800,555.52/205,999.20
  6. Step 6: Final answer
    x = 271,126.30

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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.