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Finding the Fourth Proportional to 431,676.55, 647,145.62 and 165,628

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Solution

The fourth proportional to 431,676.55, 647,145.62 and 165,628 is: 248,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,676.55 : 647,145.62 = 165,628 : x
  2. Step 2: Convert to fraction form
    431,676.55/647,145.62 = 165,628/x
  3. Step 3: Cross multiply
    431,676.55x = 647,145.62 × 165,628
  4. Step 4: Simplify right side
    431,676.55x = 107,185,434,749.36
  5. Step 5: Solve for x
    x = 107,185,434,749.36/431,676.55
  6. Step 6: Final answer
    x = 248,300.34

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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.