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Finding the Fourth Proportional to 384,080.80, 575,635.20 and 147,107.20

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Solution

The fourth proportional to 384,080.80, 575,635.20 and 147,107.20 is: 220,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,080.80 : 575,635.20 = 147,107.20 : x
  2. Step 2: Convert to fraction form
    384,080.80/575,635.20 = 147,107.20/x
  3. Step 3: Cross multiply
    384,080.80x = 575,635.20 × 147,107.20
  4. Step 4: Simplify right side
    384,080.80x = 84,680,082,493.44
  5. Step 5: Solve for x
    x = 84,680,082,493.44/384,080.80
  6. Step 6: Final answer
    x = 220,474.66

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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.