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Finding the Fourth Proportional to 419,405.45, 578,786.07 and 228,418.68

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Solution

The fourth proportional to 419,405.45, 578,786.07 and 228,418.68 is: 315,221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,405.45 : 578,786.07 = 228,418.68 : x
  2. Step 2: Convert to fraction form
    419,405.45/578,786.07 = 228,418.68/x
  3. Step 3: Cross multiply
    419,405.45x = 578,786.07 × 228,418.68
  4. Step 4: Simplify right side
    419,405.45x = 132,205,553,138.81
  5. Step 5: Solve for x
    x = 132,205,553,138.81/419,405.45
  6. Step 6: Final answer
    x = 315,221.36

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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.