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Finding the Fourth Proportional to 307,464, 424,650.24 and 206,687.04

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Solution

The fourth proportional to 307,464, 424,650.24 and 206,687.04 is: 285,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,464 : 424,650.24 = 206,687.04 : x
  2. Step 2: Convert to fraction form
    307,464/424,650.24 = 206,687.04/x
  3. Step 3: Cross multiply
    307,464x = 424,650.24 × 206,687.04
  4. Step 4: Simplify right side
    307,464x = 87,769,701,140.89
  5. Step 5: Solve for x
    x = 87,769,701,140.89/307,464
  6. Step 6: Final answer
    x = 285,463.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.