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Finding the Fourth Proportional to 291,910.43, 437,884.12 and 123,408.57

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Solution

The fourth proportional to 291,910.43, 437,884.12 and 123,408.57 is: 185,120.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,910.43 : 437,884.12 = 123,408.57 : x
  2. Step 2: Convert to fraction form
    291,910.43/437,884.12 = 123,408.57/x
  3. Step 3: Cross multiply
    291,910.43x = 437,884.12 × 123,408.57
  4. Step 4: Simplify right side
    291,910.43x = 54,038,653,074.91
  5. Step 5: Solve for x
    x = 54,038,653,074.91/291,910.43
  6. Step 6: Final answer
    x = 185,120.67

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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.