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Finding the Fourth Proportional to 286,215.50, 394,995.84 and 165,361.88

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Solution

The fourth proportional to 286,215.50, 394,995.84 and 165,361.88 is: 228,210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,215.50 : 394,995.84 = 165,361.88 : x
  2. Step 2: Convert to fraction form
    286,215.50/394,995.84 = 165,361.88/x
  3. Step 3: Cross multiply
    286,215.50x = 394,995.84 × 165,361.88
  4. Step 4: Simplify right side
    286,215.50x = 65,317,254,694.58
  5. Step 5: Solve for x
    x = 65,317,254,694.58/286,215.50
  6. Step 6: Final answer
    x = 228,210.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.