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Finding the Fourth Proportional to 270,215.16, 405,400.82 and 83,254.20

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Solution

The fourth proportional to 270,215.16, 405,400.82 and 83,254.20 is: 124,905.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,215.16 : 405,400.82 = 83,254.20 : x
  2. Step 2: Convert to fraction form
    270,215.16/405,400.82 = 83,254.20/x
  3. Step 3: Cross multiply
    270,215.16x = 405,400.82 × 83,254.20
  4. Step 4: Simplify right side
    270,215.16x = 33,751,320,948.44
  5. Step 5: Solve for x
    x = 33,751,320,948.44/270,215.16
  6. Step 6: Final answer
    x = 124,905.36

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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.