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Finding the Fourth Proportional to 431,676.05, 647,144.87 and 165,627.50

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Solution

The fourth proportional to 431,676.05, 647,144.87 and 165,627.50 is: 248,299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,676.05 : 647,144.87 = 165,627.50 : x
  2. Step 2: Convert to fraction form
    431,676.05/647,144.87 = 165,627.50/x
  3. Step 3: Cross multiply
    431,676.05x = 647,144.87 × 165,627.50
  4. Step 4: Simplify right side
    431,676.05x = 107,184,986,955.93
  5. Step 5: Solve for x
    x = 107,184,986,955.93/431,676.05
  6. Step 6: Final answer
    x = 248,299.59

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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.