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Finding the Fourth Proportional to 277,083.36, 415,476 and 143,632.80

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Solution

The fourth proportional to 277,083.36, 415,476 and 143,632.80 is: 215,371.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,083.36 : 415,476 = 143,632.80 : x
  2. Step 2: Convert to fraction form
    277,083.36/415,476 = 143,632.80/x
  3. Step 3: Cross multiply
    277,083.36x = 415,476 × 143,632.80
  4. Step 4: Simplify right side
    277,083.36x = 59,675,981,212.80
  5. Step 5: Solve for x
    x = 59,675,981,212.80/277,083.36
  6. Step 6: Final answer
    x = 215,371.94

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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.