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Finding the Fourth Proportional to 419,139.38, 628,768.19 and 134,734.61

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Solution

The fourth proportional to 419,139.38, 628,768.19 and 134,734.61 is: 202,120.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,139.38 : 628,768.19 = 134,734.61 : x
  2. Step 2: Convert to fraction form
    419,139.38/628,768.19 = 134,734.61/x
  3. Step 3: Cross multiply
    419,139.38x = 628,768.19 × 134,734.61
  4. Step 4: Simplify right side
    419,139.38x = 84,716,834,053.05
  5. Step 5: Solve for x
    x = 84,716,834,053.05/419,139.38
  6. Step 6: Final answer
    x = 202,120.92

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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.