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Finding the Fourth Proportional to 321,676.90, 482,023.27 and 171,938.47

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Solution

The fourth proportional to 321,676.90, 482,023.27 and 171,938.47 is: 257,644.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,676.90 : 482,023.27 = 171,938.47 : x
  2. Step 2: Convert to fraction form
    321,676.90/482,023.27 = 171,938.47/x
  3. Step 3: Cross multiply
    321,676.90x = 482,023.27 × 171,938.47
  4. Step 4: Simplify right side
    321,676.90x = 82,878,343,548.20
  5. Step 5: Solve for x
    x = 82,878,343,548.20/321,676.90
  6. Step 6: Final answer
    x = 257,644.68

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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.