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Finding the Fourth Proportional to 231,489, 347,233.14 and 152,028.63

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Solution

The fourth proportional to 231,489, 347,233.14 and 152,028.63 is: 228,042.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,489 : 347,233.14 = 152,028.63 : x
  2. Step 2: Convert to fraction form
    231,489/347,233.14 = 152,028.63/x
  3. Step 3: Cross multiply
    231,489x = 347,233.14 × 152,028.63
  4. Step 4: Simplify right side
    231,489x = 52,789,378,564.80
  5. Step 5: Solve for x
    x = 52,789,378,564.80/231,489
  6. Step 6: Final answer
    x = 228,042.71

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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.