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Finding the Fourth Proportional to 539,416, 809,162.88 and 206,992

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Solution

The fourth proportional to 539,416, 809,162.88 and 206,992 is: 310,502.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,416 : 809,162.88 = 206,992 : x
  2. Step 2: Convert to fraction form
    539,416/809,162.88 = 206,992/x
  3. Step 3: Cross multiply
    539,416x = 809,162.88 × 206,992
  4. Step 4: Simplify right side
    539,416x = 167,490,242,856.96
  5. Step 5: Solve for x
    x = 167,490,242,856.96/539,416
  6. Step 6: Final answer
    x = 310,502.92

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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.