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Finding the Fourth Proportional to 228,743.20, 343,114.80 and 213,191.20

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Solution

The fourth proportional to 228,743.20, 343,114.80 and 213,191.20 is: 319,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,743.20 : 343,114.80 = 213,191.20 : x
  2. Step 2: Convert to fraction form
    228,743.20/343,114.80 = 213,191.20/x
  3. Step 3: Cross multiply
    228,743.20x = 343,114.80 × 213,191.20
  4. Step 4: Simplify right side
    228,743.20x = 73,149,055,949.76
  5. Step 5: Solve for x
    x = 73,149,055,949.76/228,743.20
  6. Step 6: Final answer
    x = 319,786.80

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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.