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Finding the Fourth Proportional to 419,836.88, 579,363.36 and 228,854

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Solution

The fourth proportional to 419,836.88, 579,363.36 and 228,854 is: 315,812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,836.88 : 579,363.36 = 228,854 : x
  2. Step 2: Convert to fraction form
    419,836.88/579,363.36 = 228,854/x
  3. Step 3: Cross multiply
    419,836.88x = 579,363.36 × 228,854
  4. Step 4: Simplify right side
    419,836.88x = 132,589,622,389.44
  5. Step 5: Solve for x
    x = 132,589,622,389.44/419,836.88
  6. Step 6: Final answer
    x = 315,812.23

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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.