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Finding the Fourth Proportional to 384,605.57, 576,908.77 and 100,295.87

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Solution

The fourth proportional to 384,605.57, 576,908.77 and 100,295.87 is: 150,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,605.57 : 576,908.77 = 100,295.87 : x
  2. Step 2: Convert to fraction form
    384,605.57/576,908.77 = 100,295.87/x
  3. Step 3: Cross multiply
    384,605.57x = 576,908.77 × 100,295.87
  4. Step 4: Simplify right side
    384,605.57x = 57,861,566,997.78
  5. Step 5: Solve for x
    x = 57,861,566,997.78/384,605.57
  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.