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Finding the Fourth Proportional to 412,976.80, 619,217.36 and 143,016

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Solution

The fourth proportional to 412,976.80, 619,217.36 and 143,016 is: 214,438.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,976.80 : 619,217.36 = 143,016 : x
  2. Step 2: Convert to fraction form
    412,976.80/619,217.36 = 143,016/x
  3. Step 3: Cross multiply
    412,976.80x = 619,217.36 × 143,016
  4. Step 4: Simplify right side
    412,976.80x = 88,557,989,957.76
  5. Step 5: Solve for x
    x = 88,557,989,957.76/412,976.80
  6. Step 6: Final answer
    x = 214,438.17

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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.