Home / 419,914.14-629,742.02-120,314.45

Finding the Fourth Proportional to 419,914.14, 629,742.02 and 120,314.45

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Solution

The fourth proportional to 419,914.14, 629,742.02 and 120,314.45 is: 180,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,914.14 : 629,742.02 = 120,314.45 : x
  2. Step 2: Convert to fraction form
    419,914.14/629,742.02 = 120,314.45/x
  3. Step 3: Cross multiply
    419,914.14x = 629,742.02 × 120,314.45
  4. Step 4: Simplify right side
    419,914.14x = 75,767,061,027.91
  5. Step 5: Solve for x
    x = 75,767,061,027.91/419,914.14
  6. Step 6: Final answer
    x = 180,434.65

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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.