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Finding the Fourth Proportional to 419,293.46, 629,038.56 and 119,778.32

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Solution

The fourth proportional to 419,293.46, 629,038.56 and 119,778.32 is: 179,695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,293.46 : 629,038.56 = 119,778.32 : x
  2. Step 2: Convert to fraction form
    419,293.46/629,038.56 = 119,778.32/x
  3. Step 3: Cross multiply
    419,293.46x = 629,038.56 × 119,778.32
  4. Step 4: Simplify right side
    419,293.46x = 75,345,181,932.02
  5. Step 5: Solve for x
    x = 75,345,181,932.02/419,293.46
  6. Step 6: Final answer
    x = 179,695.58

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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.