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Finding the Fourth Proportional to 419,658.72, 579,128.12 and 228,671.66

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Solution

The fourth proportional to 419,658.72, 579,128.12 and 228,671.66 is: 315,566.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,658.72 : 579,128.12 = 228,671.66 : x
  2. Step 2: Convert to fraction form
    419,658.72/579,128.12 = 228,671.66/x
  3. Step 3: Cross multiply
    419,658.72x = 579,128.12 × 228,671.66
  4. Step 4: Simplify right side
    419,658.72x = 132,430,188,553.08
  5. Step 5: Solve for x
    x = 132,430,188,553.08/419,658.72
  6. Step 6: Final answer
    x = 315,566.39

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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.