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Finding the Fourth Proportional to 431,678.97, 647,577.59 and 147,293.24

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Solution

The fourth proportional to 431,678.97, 647,577.59 and 147,293.24 is: 220,960.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,678.97 : 647,577.59 = 147,293.24 : x
  2. Step 2: Convert to fraction form
    431,678.97/647,577.59 = 147,293.24/x
  3. Step 3: Cross multiply
    431,678.97x = 647,577.59 × 147,293.24
  4. Step 4: Simplify right side
    431,678.97x = 95,383,797,408.14
  5. Step 5: Solve for x
    x = 95,383,797,408.14/431,678.97
  6. Step 6: Final answer
    x = 220,960.03

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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.