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Finding the Fourth Proportional to 384,605.58, 576,908.73 and 100,295.88

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Solution

The fourth proportional to 384,605.58, 576,908.73 and 100,295.88 is: 150,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,605.58 : 576,908.73 = 100,295.88 : x
  2. Step 2: Convert to fraction form
    384,605.58/576,908.73 = 100,295.88/x
  3. Step 3: Cross multiply
    384,605.58x = 576,908.73 × 100,295.88
  4. Step 4: Simplify right side
    384,605.58x = 57,861,568,755.03
  5. Step 5: Solve for x
    x = 57,861,568,755.03/384,605.58
  6. Step 6: Final answer
    x = 150,443.91

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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.