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Finding the Fourth Proportional to 288,744.70, 398,456.25 and 159,674.79

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Solution

The fourth proportional to 288,744.70, 398,456.25 and 159,674.79 is: 220,344.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,744.70 : 398,456.25 = 159,674.79 : x
  2. Step 2: Convert to fraction form
    288,744.70/398,456.25 = 159,674.79/x
  3. Step 3: Cross multiply
    288,744.70x = 398,456.25 × 159,674.79
  4. Step 4: Simplify right side
    288,744.70x = 63,623,418,042.94
  5. Step 5: Solve for x
    x = 63,623,418,042.94/288,744.70
  6. Step 6: Final answer
    x = 220,344.89

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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.