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Finding the Fourth Proportional to 419,104.08, 628,753.68 and 119,588.76

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Solution

The fourth proportional to 419,104.08, 628,753.68 and 119,588.76 is: 179,410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,104.08 : 628,753.68 = 119,588.76 : x
  2. Step 2: Convert to fraction form
    419,104.08/628,753.68 = 119,588.76/x
  3. Step 3: Cross multiply
    419,104.08x = 628,753.68 × 119,588.76
  4. Step 4: Simplify right side
    419,104.08x = 75,191,872,936.64
  5. Step 5: Solve for x
    x = 75,191,872,936.64/419,104.08
  6. Step 6: Final answer
    x = 179,410.98

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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.