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Finding the Fourth Proportional to 415,935.44, 623,955 and 135,377.36

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Solution

The fourth proportional to 415,935.44, 623,955 and 135,377.36 is: 203,082.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,935.44 : 623,955 = 135,377.36 : x
  2. Step 2: Convert to fraction form
    415,935.44/623,955 = 135,377.36/x
  3. Step 3: Cross multiply
    415,935.44x = 623,955 × 135,377.36
  4. Step 4: Simplify right side
    415,935.44x = 84,469,380,658.80
  5. Step 5: Solve for x
    x = 84,469,380,658.80/415,935.44
  6. Step 6: Final answer
    x = 203,082.91

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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.