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Finding the Fourth Proportional to 393,963.64, 590,859.04 and 113,419.96

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Solution

The fourth proportional to 393,963.64, 590,859.04 and 113,419.96 is: 170,105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,963.64 : 590,859.04 = 113,419.96 : x
  2. Step 2: Convert to fraction form
    393,963.64/590,859.04 = 113,419.96/x
  3. Step 3: Cross multiply
    393,963.64x = 590,859.04 × 113,419.96
  4. Step 4: Simplify right side
    393,963.64x = 67,015,208,682.44
  5. Step 5: Solve for x
    x = 67,015,208,682.44/393,963.64
  6. Step 6: Final answer
    x = 170,105.06

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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.