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Finding the Fourth Proportional to 463,833.50, 640,286.18 and 302,826.56

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Solution

The fourth proportional to 463,833.50, 640,286.18 and 302,826.56 is: 418,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,833.50 : 640,286.18 = 302,826.56 : x
  2. Step 2: Convert to fraction form
    463,833.50/640,286.18 = 302,826.56/x
  3. Step 3: Cross multiply
    463,833.50x = 640,286.18 × 302,826.56
  4. Step 4: Simplify right side
    463,833.50x = 193,895,656,589.38
  5. Step 5: Solve for x
    x = 193,895,656,589.38/463,833.50
  6. Step 6: Final answer
    x = 418,028.58

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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.