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Finding the Fourth Proportional to 419,134.97, 578,419.31 and 228,161.09

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Solution

The fourth proportional to 419,134.97, 578,419.31 and 228,161.09 is: 314,869.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,134.97 : 578,419.31 = 228,161.09 : x
  2. Step 2: Convert to fraction form
    419,134.97/578,419.31 = 228,161.09/x
  3. Step 3: Cross multiply
    419,134.97x = 578,419.31 × 228,161.09
  4. Step 4: Simplify right side
    419,134.97x = 131,972,779,105.84
  5. Step 5: Solve for x
    x = 131,972,779,105.84/419,134.97
  6. Step 6: Final answer
    x = 314,869.41

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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.