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Finding the Fourth Proportional to 389,408.20, 537,390.31 and 228,379.39

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Solution

The fourth proportional to 389,408.20, 537,390.31 and 228,379.39 is: 315,167.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,408.20 : 537,390.31 = 228,379.39 : x
  2. Step 2: Convert to fraction form
    389,408.20/537,390.31 = 228,379.39/x
  3. Step 3: Cross multiply
    389,408.20x = 537,390.31 × 228,379.39
  4. Step 4: Simplify right side
    389,408.20x = 122,728,868,502.76
  5. Step 5: Solve for x
    x = 122,728,868,502.76/389,408.20
  6. Step 6: Final answer
    x = 315,167.66

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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.