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Finding the Fourth Proportional to 307,728, 424,613.34 and 205,589.70

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Solution

The fourth proportional to 307,728, 424,613.34 and 205,589.70 is: 283,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,728 : 424,613.34 = 205,589.70 : x
  2. Step 2: Convert to fraction form
    307,728/424,613.34 = 205,589.70/x
  3. Step 3: Cross multiply
    307,728x = 424,613.34 × 205,589.70
  4. Step 4: Simplify right side
    307,728x = 87,296,129,186.60
  5. Step 5: Solve for x
    x = 87,296,129,186.60/307,728
  6. Step 6: Final answer
    x = 283,679.51

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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.