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Finding the Fourth Proportional to 270,449.10, 405,712.05 and 83,441.10

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Solution

The fourth proportional to 270,449.10, 405,712.05 and 83,441.10 is: 125,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,449.10 : 405,712.05 = 83,441.10 : x
  2. Step 2: Convert to fraction form
    270,449.10/405,712.05 = 83,441.10/x
  3. Step 3: Cross multiply
    270,449.10x = 405,712.05 × 83,441.10
  4. Step 4: Simplify right side
    270,449.10x = 33,853,059,735.26
  5. Step 5: Solve for x
    x = 33,853,059,735.26/270,449.10
  6. Step 6: Final answer
    x = 125,173.50

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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.