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Finding the Fourth Proportional to 419,412.74, 629,123.19 and 119,891.24

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Solution

The fourth proportional to 419,412.74, 629,123.19 and 119,891.24 is: 179,838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,412.74 : 629,123.19 = 119,891.24 : x
  2. Step 2: Convert to fraction form
    419,412.74/629,123.19 = 119,891.24/x
  3. Step 3: Cross multiply
    419,412.74x = 629,123.19 × 119,891.24
  4. Step 4: Simplify right side
    419,412.74x = 75,426,358,125.86
  5. Step 5: Solve for x
    x = 75,426,358,125.86/419,412.74
  6. Step 6: Final answer
    x = 179,838.03

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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.