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Finding the Fourth Proportional to 512,825.86, 769,463.97 and 272,883.21

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Solution

The fourth proportional to 512,825.86, 769,463.97 and 272,883.21 is: 409,444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,825.86 : 769,463.97 = 272,883.21 : x
  2. Step 2: Convert to fraction form
    512,825.86/769,463.97 = 272,883.21/x
  3. Step 3: Cross multiply
    512,825.86x = 769,463.97 × 272,883.21
  4. Step 4: Simplify right side
    512,825.86x = 209,973,798,112.94
  5. Step 5: Solve for x
    x = 209,973,798,112.94/512,825.86
  6. Step 6: Final answer
    x = 409,444.64

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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.