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Finding the Fourth Proportional to 419,939, 630,169.73 and 170,621

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Solution

The fourth proportional to 419,939, 630,169.73 and 170,621 is: 256,037.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,939 : 630,169.73 = 170,621 : x
  2. Step 2: Convert to fraction form
    419,939/630,169.73 = 170,621/x
  3. Step 3: Cross multiply
    419,939x = 630,169.73 × 170,621
  4. Step 4: Simplify right side
    419,939x = 107,520,189,502.33
  5. Step 5: Solve for x
    x = 107,520,189,502.33/419,939
  6. Step 6: Final answer
    x = 256,037.64

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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.