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Finding the Fourth Proportional to 419,005.80, 628,511.90 and 119,486.13

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Solution

The fourth proportional to 419,005.80, 628,511.90 and 119,486.13 is: 179,230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,005.80 : 628,511.90 = 119,486.13 : x
  2. Step 2: Convert to fraction form
    419,005.80/628,511.90 = 119,486.13/x
  3. Step 3: Cross multiply
    419,005.80x = 628,511.90 × 119,486.13
  4. Step 4: Simplify right side
    419,005.80x = 75,098,453,992.52
  5. Step 5: Solve for x
    x = 75,098,453,992.52/419,005.80
  6. Step 6: Final answer
    x = 179,230.11

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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.