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Finding the Fourth Proportional to 419,353.28, 629,050.58 and 119,877.65

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Solution

The fourth proportional to 419,353.28, 629,050.58 and 119,877.65 is: 179,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,353.28 : 629,050.58 = 119,877.65 : x
  2. Step 2: Convert to fraction form
    419,353.28/629,050.58 = 119,877.65/x
  3. Step 3: Cross multiply
    419,353.28x = 629,050.58 × 119,877.65
  4. Step 4: Simplify right side
    419,353.28x = 75,409,105,261.54
  5. Step 5: Solve for x
    x = 75,409,105,261.54/419,353.28
  6. Step 6: Final answer
    x = 179,822.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.