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Finding the Fourth Proportional to 277,082.36, 415,474.50 and 143,631.80

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Solution

The fourth proportional to 277,082.36, 415,474.50 and 143,631.80 is: 215,370.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,082.36 : 415,474.50 = 143,631.80 : x
  2. Step 2: Convert to fraction form
    277,082.36/415,474.50 = 143,631.80/x
  3. Step 3: Cross multiply
    277,082.36x = 415,474.50 × 143,631.80
  4. Step 4: Simplify right side
    277,082.36x = 59,675,350,289.10
  5. Step 5: Solve for x
    x = 59,675,350,289.10/277,082.36
  6. Step 6: Final answer
    x = 215,370.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.