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Finding the Fourth Proportional to 259,668.48, 389,199.20 and 230,144

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Solution

The fourth proportional to 259,668.48, 389,199.20 and 230,144 is: 344,946.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,668.48 : 389,199.20 = 230,144 : x
  2. Step 2: Convert to fraction form
    259,668.48/389,199.20 = 230,144/x
  3. Step 3: Cross multiply
    259,668.48x = 389,199.20 × 230,144
  4. Step 4: Simplify right side
    259,668.48x = 89,571,860,684.80
  5. Step 5: Solve for x
    x = 89,571,860,684.80/259,668.48
  6. Step 6: Final answer
    x = 344,946.99

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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.