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Finding the Fourth Proportional to 386,763.84, 580,144.02 and 120,524.58

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Solution

The fourth proportional to 386,763.84, 580,144.02 and 120,524.58 is: 180,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,763.84 : 580,144.02 = 120,524.58 : x
  2. Step 2: Convert to fraction form
    386,763.84/580,144.02 = 120,524.58/x
  3. Step 3: Cross multiply
    386,763.84x = 580,144.02 × 120,524.58
  4. Step 4: Simplify right side
    386,763.84x = 69,921,614,350.01
  5. Step 5: Solve for x
    x = 69,921,614,350.01/386,763.84
  6. Step 6: Final answer
    x = 180,786.33

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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.