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Finding the Fourth Proportional to 460,201.80, 690,020.82 and 179,391

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Solution

The fourth proportional to 460,201.80, 690,020.82 and 179,391 is: 268,976.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,201.80 : 690,020.82 = 179,391 : x
  2. Step 2: Convert to fraction form
    460,201.80/690,020.82 = 179,391/x
  3. Step 3: Cross multiply
    460,201.80x = 690,020.82 × 179,391
  4. Step 4: Simplify right side
    460,201.80x = 123,783,524,920.62
  5. Step 5: Solve for x
    x = 123,783,524,920.62/460,201.80
  6. Step 6: Final answer
    x = 268,976.62

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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.