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Finding the Fourth Proportional to 386,474.86, 579,121.09 and 206,585.87

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Solution

The fourth proportional to 386,474.86, 579,121.09 and 206,585.87 is: 309,562.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,474.86 : 579,121.09 = 206,585.87 : x
  2. Step 2: Convert to fraction form
    386,474.86/579,121.09 = 206,585.87/x
  3. Step 3: Cross multiply
    386,474.86x = 579,121.09 × 206,585.87
  4. Step 4: Simplify right side
    386,474.86x = 119,638,235,144.34
  5. Step 5: Solve for x
    x = 119,638,235,144.34/386,474.86
  6. Step 6: Final answer
    x = 309,562.79

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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.