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Finding the Fourth Proportional to 309,380.63, 463,939.72 and 109,751.27

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Solution

The fourth proportional to 309,380.63, 463,939.72 and 109,751.27 is: 164,580.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,380.63 : 463,939.72 = 109,751.27 : x
  2. Step 2: Convert to fraction form
    309,380.63/463,939.72 = 109,751.27/x
  3. Step 3: Cross multiply
    309,380.63x = 463,939.72 × 109,751.27
  4. Step 4: Simplify right side
    309,380.63x = 50,917,973,473.44
  5. Step 5: Solve for x
    x = 50,917,973,473.44/309,380.63
  6. Step 6: Final answer
    x = 164,580.35

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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.