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Finding the Fourth Proportional to 442,193.75, 663,175.80 and 126,576.84

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Solution

The fourth proportional to 442,193.75, 663,175.80 and 126,576.84 is: 189,832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,193.75 : 663,175.80 = 126,576.84 : x
  2. Step 2: Convert to fraction form
    442,193.75/663,175.80 = 126,576.84/x
  3. Step 3: Cross multiply
    442,193.75x = 663,175.80 × 126,576.84
  4. Step 4: Simplify right side
    442,193.75x = 83,942,697,128.47
  5. Step 5: Solve for x
    x = 83,942,697,128.47/442,193.75
  6. Step 6: Final answer
    x = 189,832.39

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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.