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Finding the Fourth Proportional to 455,044.30, 682,274.84 and 188,988.46

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Solution

The fourth proportional to 455,044.30, 682,274.84 and 188,988.46 is: 283,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,044.30 : 682,274.84 = 188,988.46 : x
  2. Step 2: Convert to fraction form
    455,044.30/682,274.84 = 188,988.46/x
  3. Step 3: Cross multiply
    455,044.30x = 682,274.84 × 188,988.46
  4. Step 4: Simplify right side
    455,044.30x = 128,942,071,308.35
  5. Step 5: Solve for x
    x = 128,942,071,308.35/455,044.30
  6. Step 6: Final answer
    x = 283,361.58

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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.