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Finding the Fourth Proportional to 318,314.78, 477,503.31 and 115,965.85

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Solution

The fourth proportional to 318,314.78, 477,503.31 and 115,965.85 is: 173,960.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,314.78 : 477,503.31 = 115,965.85 : x
  2. Step 2: Convert to fraction form
    318,314.78/477,503.31 = 115,965.85/x
  3. Step 3: Cross multiply
    318,314.78x = 477,503.31 × 115,965.85
  4. Step 4: Simplify right side
    318,314.78x = 55,374,077,221.96
  5. Step 5: Solve for x
    x = 55,374,077,221.96/318,314.78
  6. Step 6: Final answer
    x = 173,960.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.