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Finding the Fourth Proportional to 270,403.21, 405,573.82 and 70,742.86

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Solution

The fourth proportional to 270,403.21, 405,573.82 and 70,742.86 is: 106,106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,403.21 : 405,573.82 = 70,742.86 : x
  2. Step 2: Convert to fraction form
    270,403.21/405,573.82 = 70,742.86/x
  3. Step 3: Cross multiply
    270,403.21x = 405,573.82 × 70,742.86
  4. Step 4: Simplify right side
    270,403.21x = 28,691,451,967.93
  5. Step 5: Solve for x
    x = 28,691,451,967.93/270,403.21
  6. Step 6: Final answer
    x = 106,106.18

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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.