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Finding the Fourth Proportional to 413,829.80, 620,687.10 and 133,375.40

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Solution

The fourth proportional to 413,829.80, 620,687.10 and 133,375.40 is: 200,044.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,829.80 : 620,687.10 = 133,375.40 : x
  2. Step 2: Convert to fraction form
    413,829.80/620,687.10 = 133,375.40/x
  3. Step 3: Cross multiply
    413,829.80x = 620,687.10 × 133,375.40
  4. Step 4: Simplify right side
    413,829.80x = 82,784,390,237.34
  5. Step 5: Solve for x
    x = 82,784,390,237.34/413,829.80
  6. Step 6: Final answer
    x = 200,044.54

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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.