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Finding the Fourth Proportional to 398,842.26, 550,404.03 and 217,558.14

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Solution

The fourth proportional to 398,842.26, 550,404.03 and 217,558.14 is: 300,231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,842.26 : 550,404.03 = 217,558.14 : x
  2. Step 2: Convert to fraction form
    398,842.26/550,404.03 = 217,558.14/x
  3. Step 3: Cross multiply
    398,842.26x = 550,404.03 × 217,558.14
  4. Step 4: Simplify right side
    398,842.26x = 119,744,877,015.30
  5. Step 5: Solve for x
    x = 119,744,877,015.30/398,842.26
  6. Step 6: Final answer
    x = 300,231.17

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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.