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Finding the Fourth Proportional to 431,530.84, 647,156.21 and 203,791.24

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Solution

The fourth proportional to 431,530.84, 647,156.21 and 203,791.24 is: 305,620.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,530.84 : 647,156.21 = 203,791.24 : x
  2. Step 2: Convert to fraction form
    431,530.84/647,156.21 = 203,791.24/x
  3. Step 3: Cross multiply
    431,530.84x = 647,156.21 × 203,791.24
  4. Step 4: Simplify right side
    431,530.84x = 131,884,766,509.60
  5. Step 5: Solve for x
    x = 131,884,766,509.60/431,530.84
  6. Step 6: Final answer
    x = 305,620.72

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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.