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Finding the Fourth Proportional to 419,732.40, 579,231.14 and 228,745.94

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Solution

The fourth proportional to 419,732.40, 579,231.14 and 228,745.94 is: 315,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,732.40 : 579,231.14 = 228,745.94 : x
  2. Step 2: Convert to fraction form
    419,732.40/579,231.14 = 228,745.94/x
  3. Step 3: Cross multiply
    419,732.40x = 579,231.14 × 228,745.94
  4. Step 4: Simplify right side
    419,732.40x = 132,496,771,596.57
  5. Step 5: Solve for x
    x = 132,496,771,596.57/419,732.40
  6. Step 6: Final answer
    x = 315,669.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.