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Finding the Fourth Proportional to 290,744.16, 436,124.43 and 80,382.09

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Solution

The fourth proportional to 290,744.16, 436,124.43 and 80,382.09 is: 120,575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,744.16 : 436,124.43 = 80,382.09 : x
  2. Step 2: Convert to fraction form
    290,744.16/436,124.43 = 80,382.09/x
  3. Step 3: Cross multiply
    290,744.16x = 436,124.43 × 80,382.09
  4. Step 4: Simplify right side
    290,744.16x = 35,056,593,183.46
  5. Step 5: Solve for x
    x = 35,056,593,183.46/290,744.16
  6. Step 6: Final answer
    x = 120,575.40

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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.