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Finding the Fourth Proportional to 419,034.50, 578,256.52 and 228,043.80

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Solution

The fourth proportional to 419,034.50, 578,256.52 and 228,043.80 is: 314,694.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,034.50 : 578,256.52 = 228,043.80 : x
  2. Step 2: Convert to fraction form
    419,034.50/578,256.52 = 228,043.80/x
  3. Step 3: Cross multiply
    419,034.50x = 578,256.52 × 228,043.80
  4. Step 4: Simplify right side
    419,034.50x = 131,867,814,195.58
  5. Step 5: Solve for x
    x = 131,867,814,195.58/419,034.50
  6. Step 6: Final answer
    x = 314,694.41

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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.