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Finding the Fourth Proportional to 539,538.71, 809,231.31 and 219,830.09

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Solution

The fourth proportional to 539,538.71, 809,231.31 and 219,830.09 is: 329,713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,538.71 : 809,231.31 = 219,830.09 : x
  2. Step 2: Convert to fraction form
    539,538.71/809,231.31 = 219,830.09/x
  3. Step 3: Cross multiply
    539,538.71x = 809,231.31 × 219,830.09
  4. Step 4: Simplify right side
    539,538.71x = 177,893,387,661.96
  5. Step 5: Solve for x
    x = 177,893,387,661.96/539,538.71
  6. Step 6: Final answer
    x = 329,713.86

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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.