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Finding the Fourth Proportional to 320,474.10, 480,720.96 and 110,109

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Solution

The fourth proportional to 320,474.10, 480,720.96 and 110,109 is: 165,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,474.10 : 480,720.96 = 110,109 : x
  2. Step 2: Convert to fraction form
    320,474.10/480,720.96 = 110,109/x
  3. Step 3: Cross multiply
    320,474.10x = 480,720.96 × 110,109
  4. Step 4: Simplify right side
    320,474.10x = 52,931,704,184.64
  5. Step 5: Solve for x
    x = 52,931,704,184.64/320,474.10
  6. Step 6: Final answer
    x = 165,166.87

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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.