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Finding the Fourth Proportional to 272,486.40, 408,729.60 and 206,131.20

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Solution

The fourth proportional to 272,486.40, 408,729.60 and 206,131.20 is: 309,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,486.40 : 408,729.60 = 206,131.20 : x
  2. Step 2: Convert to fraction form
    272,486.40/408,729.60 = 206,131.20/x
  3. Step 3: Cross multiply
    272,486.40x = 408,729.60 × 206,131.20
  4. Step 4: Simplify right side
    272,486.40x = 84,251,922,923.52
  5. Step 5: Solve for x
    x = 84,251,922,923.52/272,486.40
  6. Step 6: Final answer
    x = 309,196.80

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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.