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Finding the Fourth Proportional to 386,471.86, 579,116.59 and 206,582.87

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Solution

The fourth proportional to 386,471.86, 579,116.59 and 206,582.87 is: 309,558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,471.86 : 579,116.59 = 206,582.87 : x
  2. Step 2: Convert to fraction form
    386,471.86/579,116.59 = 206,582.87/x
  3. Step 3: Cross multiply
    386,471.86x = 579,116.59 × 206,582.87
  4. Step 4: Simplify right side
    386,471.86x = 119,635,568,158.15
  5. Step 5: Solve for x
    x = 119,635,568,158.15/386,471.86
  6. Step 6: Final answer
    x = 309,558.29

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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.