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Finding the Fourth Proportional to 382,380.48, 573,732 and 204,840

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Solution

The fourth proportional to 382,380.48, 573,732 and 204,840 is: 307,346.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,380.48 : 573,732 = 204,840 : x
  2. Step 2: Convert to fraction form
    382,380.48/573,732 = 204,840/x
  3. Step 3: Cross multiply
    382,380.48x = 573,732 × 204,840
  4. Step 4: Simplify right side
    382,380.48x = 117,523,262,880
  5. Step 5: Solve for x
    x = 117,523,262,880/382,380.48
  6. Step 6: Final answer
    x = 307,346.40

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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.