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Finding the Fourth Proportional to 539,179.92, 808,873.56 and 206,730

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Solution

The fourth proportional to 539,179.92, 808,873.56 and 206,730 is: 310,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,179.92 : 808,873.56 = 206,730 : x
  2. Step 2: Convert to fraction form
    539,179.92/808,873.56 = 206,730/x
  3. Step 3: Cross multiply
    539,179.92x = 808,873.56 × 206,730
  4. Step 4: Simplify right side
    539,179.92x = 167,218,431,058.80
  5. Step 5: Solve for x
    x = 167,218,431,058.80/539,179.92
  6. Step 6: Final answer
    x = 310,134.75

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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.