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Finding the Fourth Proportional to 329,138.22, 493,707.32 and 115,855.90

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Solution

The fourth proportional to 329,138.22, 493,707.32 and 115,855.90 is: 173,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,138.22 : 493,707.32 = 115,855.90 : x
  2. Step 2: Convert to fraction form
    329,138.22/493,707.32 = 115,855.90/x
  3. Step 3: Cross multiply
    329,138.22x = 493,707.32 × 115,855.90
  4. Step 4: Simplify right side
    329,138.22x = 57,198,905,895.19
  5. Step 5: Solve for x
    x = 57,198,905,895.19/329,138.22
  6. Step 6: Final answer
    x = 173,783.85

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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.