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Finding the Fourth Proportional to 270,216.16, 405,402.32 and 83,255.20

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Solution

The fourth proportional to 270,216.16, 405,402.32 and 83,255.20 is: 124,906.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,216.16 : 405,402.32 = 83,255.20 : x
  2. Step 2: Convert to fraction form
    270,216.16/405,402.32 = 83,255.20/x
  3. Step 3: Cross multiply
    270,216.16x = 405,402.32 × 83,255.20
  4. Step 4: Simplify right side
    270,216.16x = 33,751,851,232.06
  5. Step 5: Solve for x
    x = 33,751,851,232.06/270,216.16
  6. Step 6: Final answer
    x = 124,906.86

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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.