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Finding the Fourth Proportional to 383,786.28, 575,680.50 and 147,201.48

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Solution

The fourth proportional to 383,786.28, 575,680.50 and 147,201.48 is: 220,802.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,786.28 : 575,680.50 = 147,201.48 : x
  2. Step 2: Convert to fraction form
    383,786.28/575,680.50 = 147,201.48/x
  3. Step 3: Cross multiply
    383,786.28x = 575,680.50 × 147,201.48
  4. Step 4: Simplify right side
    383,786.28x = 84,741,021,607.14
  5. Step 5: Solve for x
    x = 84,741,021,607.14/383,786.28
  6. Step 6: Final answer
    x = 220,802.63

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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.