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Finding the Fourth Proportional to 383,794.62, 575,694.90 and 147,080.76

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Solution

The fourth proportional to 383,794.62, 575,694.90 and 147,080.76 is: 220,622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,794.62 : 575,694.90 = 147,080.76 : x
  2. Step 2: Convert to fraction form
    383,794.62/575,694.90 = 147,080.76/x
  3. Step 3: Cross multiply
    383,794.62x = 575,694.90 × 147,080.76
  4. Step 4: Simplify right side
    383,794.62x = 84,673,643,420.12
  5. Step 5: Solve for x
    x = 84,673,643,420.12/383,794.62
  6. Step 6: Final answer
    x = 220,622.28

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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.