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Finding the Fourth Proportional to 419,908.88, 629,673.72 and 120,320.84

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Solution

The fourth proportional to 419,908.88, 629,673.72 and 120,320.84 is: 180,426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,908.88 : 629,673.72 = 120,320.84 : x
  2. Step 2: Convert to fraction form
    419,908.88/629,673.72 = 120,320.84/x
  3. Step 3: Cross multiply
    419,908.88x = 629,673.72 × 120,320.84
  4. Step 4: Simplify right side
    419,908.88x = 75,762,870,916.32
  5. Step 5: Solve for x
    x = 75,762,870,916.32/419,908.88
  6. Step 6: Final answer
    x = 180,426.93

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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.