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Finding the Fourth Proportional to 382,215.28, 573,324.18 and 115,978

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Solution

The fourth proportional to 382,215.28, 573,324.18 and 115,978 is: 173,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,215.28 : 573,324.18 = 115,978 : x
  2. Step 2: Convert to fraction form
    382,215.28/573,324.18 = 115,978/x
  3. Step 3: Cross multiply
    382,215.28x = 573,324.18 × 115,978
  4. Step 4: Simplify right side
    382,215.28x = 66,492,991,748.04
  5. Step 5: Solve for x
    x = 66,492,991,748.04/382,215.28
  6. Step 6: Final answer
    x = 173,967.38

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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.