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Finding the Fourth Proportional to 408,638.34, 612,768.24 and 226,146.42

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Solution

The fourth proportional to 408,638.34, 612,768.24 and 226,146.42 is: 339,114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,638.34 : 612,768.24 = 226,146.42 : x
  2. Step 2: Convert to fraction form
    408,638.34/612,768.24 = 226,146.42/x
  3. Step 3: Cross multiply
    408,638.34x = 612,768.24 × 226,146.42
  4. Step 4: Simplify right side
    408,638.34x = 138,575,343,765.70
  5. Step 5: Solve for x
    x = 138,575,343,765.70/408,638.34
  6. Step 6: Final answer
    x = 339,114.89

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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.