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Finding the Fourth Proportional to 389,352.98, 537,163.42 and 228,149.21

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Solution

The fourth proportional to 389,352.98, 537,163.42 and 228,149.21 is: 314,761.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,352.98 : 537,163.42 = 228,149.21 : x
  2. Step 2: Convert to fraction form
    389,352.98/537,163.42 = 228,149.21/x
  3. Step 3: Cross multiply
    389,352.98x = 537,163.42 × 228,149.21
  4. Step 4: Simplify right side
    389,352.98x = 122,553,408,734.34
  5. Step 5: Solve for x
    x = 122,553,408,734.34/389,352.98
  6. Step 6: Final answer
    x = 314,761.71

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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.