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Finding the Fourth Proportional to 278,744.88, 384,668.94 and 164,027.96

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Solution

The fourth proportional to 278,744.88, 384,668.94 and 164,027.96 is: 226,359.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,744.88 : 384,668.94 = 164,027.96 : x
  2. Step 2: Convert to fraction form
    278,744.88/384,668.94 = 164,027.96/x
  3. Step 3: Cross multiply
    278,744.88x = 384,668.94 × 164,027.96
  4. Step 4: Simplify right side
    278,744.88x = 63,096,461,503.56
  5. Step 5: Solve for x
    x = 63,096,461,503.56/278,744.88
  6. Step 6: Final answer
    x = 226,359.18

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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.