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Finding the Fourth Proportional to 413,959.38, 620,931.31 and 225,618.34

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Solution

The fourth proportional to 413,959.38, 620,931.31 and 225,618.34 is: 338,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,959.38 : 620,931.31 = 225,618.34 : x
  2. Step 2: Convert to fraction form
    413,959.38/620,931.31 = 225,618.34/x
  3. Step 3: Cross multiply
    413,959.38x = 620,931.31 × 225,618.34
  4. Step 4: Simplify right side
    413,959.38x = 140,093,491,416.23
  5. Step 5: Solve for x
    x = 140,093,491,416.23/413,959.38
  6. Step 6: Final answer
    x = 338,423.28

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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.