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Finding the Fourth Proportional to 271,317.20, 406,975.80 and 218,829.20

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Solution

The fourth proportional to 271,317.20, 406,975.80 and 218,829.20 is: 328,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,317.20 : 406,975.80 = 218,829.20 : x
  2. Step 2: Convert to fraction form
    271,317.20/406,975.80 = 218,829.20/x
  3. Step 3: Cross multiply
    271,317.20x = 406,975.80 × 218,829.20
  4. Step 4: Simplify right side
    271,317.20x = 89,058,188,733.36
  5. Step 5: Solve for x
    x = 89,058,188,733.36/271,317.20
  6. Step 6: Final answer
    x = 328,243.80

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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.