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Finding the Fourth Proportional to 419,351, 578,687.02 and 228,363.96

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Solution

The fourth proportional to 419,351, 578,687.02 and 228,363.96 is: 315,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,351 : 578,687.02 = 228,363.96 : x
  2. Step 2: Convert to fraction form
    419,351/578,687.02 = 228,363.96/x
  3. Step 3: Cross multiply
    419,351x = 578,687.02 × 228,363.96
  4. Step 4: Simplify right side
    419,351x = 132,151,259,487.80
  5. Step 5: Solve for x
    x = 132,151,259,487.80/419,351
  6. Step 6: Final answer
    x = 315,132.81

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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.