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Finding the Fourth Proportional to 399,078.08, 550,739.42 and 217,801.65

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Solution

The fourth proportional to 399,078.08, 550,739.42 and 217,801.65 is: 300,572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,078.08 : 550,739.42 = 217,801.65 : x
  2. Step 2: Convert to fraction form
    399,078.08/550,739.42 = 217,801.65/x
  3. Step 3: Cross multiply
    399,078.08x = 550,739.42 × 217,801.65
  4. Step 4: Simplify right side
    399,078.08x = 119,951,951,241.76
  5. Step 5: Solve for x
    x = 119,951,951,241.76/399,078.08
  6. Step 6: Final answer
    x = 300,572.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.