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Finding the Fourth Proportional to 419,708.56, 579,180.96 and 228,717.88

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Solution

The fourth proportional to 419,708.56, 579,180.96 and 228,717.88 is: 315,621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,708.56 : 579,180.96 = 228,717.88 : x
  2. Step 2: Convert to fraction form
    419,708.56/579,180.96 = 228,717.88/x
  3. Step 3: Cross multiply
    419,708.56x = 579,180.96 × 228,717.88
  4. Step 4: Simplify right side
    419,708.56x = 132,469,041,307.57
  5. Step 5: Solve for x
    x = 132,469,041,307.57/419,708.56
  6. Step 6: Final answer
    x = 315,621.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.