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Finding the Fourth Proportional to 419,711.20, 579,201.51 and 228,724.60

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Solution

The fourth proportional to 419,711.20, 579,201.51 and 228,724.60 is: 315,639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,711.20 : 579,201.51 = 228,724.60 : x
  2. Step 2: Convert to fraction form
    419,711.20/579,201.51 = 228,724.60/x
  3. Step 3: Cross multiply
    419,711.20x = 579,201.51 × 228,724.60
  4. Step 4: Simplify right side
    419,711.20x = 132,477,633,694.15
  5. Step 5: Solve for x
    x = 132,477,633,694.15/419,711.20
  6. Step 6: Final answer
    x = 315,639.98

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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.