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Finding the Fourth Proportional to 419,294.46, 629,040.06 and 119,779.32

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Solution

The fourth proportional to 419,294.46, 629,040.06 and 119,779.32 is: 179,697.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,294.46 : 629,040.06 = 119,779.32 : x
  2. Step 2: Convert to fraction form
    419,294.46/629,040.06 = 119,779.32/x
  3. Step 3: Cross multiply
    419,294.46x = 629,040.06 × 119,779.32
  4. Step 4: Simplify right side
    419,294.46x = 75,345,990,639.56
  5. Step 5: Solve for x
    x = 75,345,990,639.56/419,294.46
  6. Step 6: Final answer
    x = 179,697.08

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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.