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Finding the Fourth Proportional to 270,402.39, 405,572.60 and 70,742.05

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Solution

The fourth proportional to 270,402.39, 405,572.60 and 70,742.05 is: 106,104.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,402.39 : 405,572.60 = 70,742.05 : x
  2. Step 2: Convert to fraction form
    270,402.39/405,572.60 = 70,742.05/x
  3. Step 3: Cross multiply
    270,402.39x = 405,572.60 × 70,742.05
  4. Step 4: Simplify right side
    270,402.39x = 28,691,036,310.75
  5. Step 5: Solve for x
    x = 28,691,036,310.75/270,402.39
  6. Step 6: Final answer
    x = 106,104.97

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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.