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Finding the Fourth Proportional to 419,164.20, 578,446.64 and 228,179

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Solution

The fourth proportional to 419,164.20, 578,446.64 and 228,179 is: 314,887.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,164.20 : 578,446.64 = 228,179 : x
  2. Step 2: Convert to fraction form
    419,164.20/578,446.64 = 228,179/x
  3. Step 3: Cross multiply
    419,164.20x = 578,446.64 × 228,179
  4. Step 4: Simplify right side
    419,164.20x = 131,989,375,868.56
  5. Step 5: Solve for x
    x = 131,989,375,868.56/419,164.20
  6. Step 6: Final answer
    x = 314,887.04

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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.