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Finding the Fourth Proportional to 383,990.35, 576,732.97 and 312,965.47

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Solution

The fourth proportional to 383,990.35, 576,732.97 and 312,965.47 is: 470,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,990.35 : 576,732.97 = 312,965.47 : x
  2. Step 2: Convert to fraction form
    383,990.35/576,732.97 = 312,965.47/x
  3. Step 3: Cross multiply
    383,990.35x = 576,732.97 × 312,965.47
  4. Step 4: Simplify right side
    383,990.35x = 180,497,500,572.05
  5. Step 5: Solve for x
    x = 180,497,500,572.05/383,990.35
  6. Step 6: Final answer
    x = 470,057.39

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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.