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Finding the Fourth Proportional to 270,402.98, 405,573.49 and 70,742.64

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Solution

The fourth proportional to 270,402.98, 405,573.49 and 70,742.64 is: 106,105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,402.98 : 405,573.49 = 70,742.64 : x
  2. Step 2: Convert to fraction form
    270,402.98/405,573.49 = 70,742.64/x
  3. Step 3: Cross multiply
    270,402.98x = 405,573.49 × 70,742.64
  4. Step 4: Simplify right side
    270,402.98x = 28,691,339,396.61
  5. Step 5: Solve for x
    x = 28,691,339,396.61/270,402.98
  6. Step 6: Final answer
    x = 106,105.86

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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.