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Finding the Fourth Proportional to 377,293.63, 520,650.12 and 205,211.72

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Solution

The fourth proportional to 377,293.63, 520,650.12 and 205,211.72 is: 283,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,293.63 : 520,650.12 = 205,211.72 : x
  2. Step 2: Convert to fraction form
    377,293.63/520,650.12 = 205,211.72/x
  3. Step 3: Cross multiply
    377,293.63x = 520,650.12 × 205,211.72
  4. Step 4: Simplify right side
    377,293.63x = 106,843,503,610.85
  5. Step 5: Solve for x
    x = 106,843,503,610.85/377,293.63
  6. Step 6: Final answer
    x = 283,183.96

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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.