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Finding the Fourth Proportional to 512,791.72, 768,703.74 and 180,186.28

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Solution

The fourth proportional to 512,791.72, 768,703.74 and 180,186.28 is: 270,109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,791.72 : 768,703.74 = 180,186.28 : x
  2. Step 2: Convert to fraction form
    512,791.72/768,703.74 = 180,186.28/x
  3. Step 3: Cross multiply
    512,791.72x = 768,703.74 × 180,186.28
  4. Step 4: Simplify right side
    512,791.72x = 138,509,867,332.69
  5. Step 5: Solve for x
    x = 138,509,867,332.69/512,791.72
  6. Step 6: Final answer
    x = 270,109.41

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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.