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Finding the Fourth Proportional to 231,859.20, 347,788.80 and 228,748.80

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Solution

The fourth proportional to 231,859.20, 347,788.80 and 228,748.80 is: 343,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,859.20 : 347,788.80 = 228,748.80 : x
  2. Step 2: Convert to fraction form
    231,859.20/347,788.80 = 228,748.80/x
  3. Step 3: Cross multiply
    231,859.20x = 347,788.80 × 228,748.80
  4. Step 4: Simplify right side
    231,859.20x = 79,556,270,653.44
  5. Step 5: Solve for x
    x = 79,556,270,653.44/231,859.20
  6. Step 6: Final answer
    x = 343,123.20

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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.