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Finding the Fourth Proportional to 270,857.92, 406,356 and 171,722.56

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Solution

The fourth proportional to 270,857.92, 406,356 and 171,722.56 is: 257,627.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,857.92 : 406,356 = 171,722.56 : x
  2. Step 2: Convert to fraction form
    270,857.92/406,356 = 171,722.56/x
  3. Step 3: Cross multiply
    270,857.92x = 406,356 × 171,722.56
  4. Step 4: Simplify right side
    270,857.92x = 69,780,492,591.36
  5. Step 5: Solve for x
    x = 69,780,492,591.36/270,857.92
  6. Step 6: Final answer
    x = 257,627.66

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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.