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Finding the Fourth Proportional to 382,682.80, 574,242.90 and 146,195.20

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Solution

The fourth proportional to 382,682.80, 574,242.90 and 146,195.20 is: 219,376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,682.80 : 574,242.90 = 146,195.20 : x
  2. Step 2: Convert to fraction form
    382,682.80/574,242.90 = 146,195.20/x
  3. Step 3: Cross multiply
    382,682.80x = 574,242.90 × 146,195.20
  4. Step 4: Simplify right side
    382,682.80x = 83,951,555,614.08
  5. Step 5: Solve for x
    x = 83,951,555,614.08/382,682.80
  6. Step 6: Final answer
    x = 219,376.35

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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.