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Finding the Fourth Proportional to 307,582.91, 424,674.30 and 198,950.57

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Solution

The fourth proportional to 307,582.91, 424,674.30 and 198,950.57 is: 274,687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,582.91 : 424,674.30 = 198,950.57 : x
  2. Step 2: Convert to fraction form
    307,582.91/424,674.30 = 198,950.57/x
  3. Step 3: Cross multiply
    307,582.91x = 424,674.30 × 198,950.57
  4. Step 4: Simplify right side
    307,582.91x = 84,489,194,049.35
  5. Step 5: Solve for x
    x = 84,489,194,049.35/307,582.91
  6. Step 6: Final answer
    x = 274,687.54

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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.