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Finding the Fourth Proportional to 419,765.94, 629,463.60 and 120,178.53

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Solution

The fourth proportional to 419,765.94, 629,463.60 and 120,178.53 is: 180,214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,765.94 : 629,463.60 = 120,178.53 : x
  2. Step 2: Convert to fraction form
    419,765.94/629,463.60 = 120,178.53/x
  3. Step 3: Cross multiply
    419,765.94x = 629,463.60 × 120,178.53
  4. Step 4: Simplify right side
    419,765.94x = 75,648,010,136.51
  5. Step 5: Solve for x
    x = 75,648,010,136.51/419,765.94
  6. Step 6: Final answer
    x = 180,214.74

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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.