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Finding the Fourth Proportional to 419,900.54, 579,451.19 and 228,913.88

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Solution

The fourth proportional to 419,900.54, 579,451.19 and 228,913.88 is: 315,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,900.54 : 579,451.19 = 228,913.88 : x
  2. Step 2: Convert to fraction form
    419,900.54/579,451.19 = 228,913.88/x
  3. Step 3: Cross multiply
    419,900.54x = 579,451.19 × 228,913.88
  4. Step 4: Simplify right side
    419,900.54x = 132,644,416,131.69
  5. Step 5: Solve for x
    x = 132,644,416,131.69/419,900.54
  6. Step 6: Final answer
    x = 315,894.85

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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.