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Finding the Fourth Proportional to 405,179.96, 608,151.29 and 205,643.54

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Solution

The fourth proportional to 405,179.96, 608,151.29 and 205,643.54 is: 308,658.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,179.96 : 608,151.29 = 205,643.54 : x
  2. Step 2: Convert to fraction form
    405,179.96/608,151.29 = 205,643.54/x
  3. Step 3: Cross multiply
    405,179.96x = 608,151.29 × 205,643.54
  4. Step 4: Simplify right side
    405,179.96x = 125,062,384,623.33
  5. Step 5: Solve for x
    x = 125,062,384,623.33/405,179.96
  6. Step 6: Final answer
    x = 308,658.86

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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.