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Finding the Fourth Proportional to 491,442.34, 737,162.91 and 154,512.42

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Solution

The fourth proportional to 491,442.34, 737,162.91 and 154,512.42 is: 231,768.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,442.34 : 737,162.91 = 154,512.42 : x
  2. Step 2: Convert to fraction form
    491,442.34/737,162.91 = 154,512.42/x
  3. Step 3: Cross multiply
    491,442.34x = 737,162.91 × 154,512.42
  4. Step 4: Simplify right side
    491,442.34x = 113,900,825,158.34
  5. Step 5: Solve for x
    x = 113,900,825,158.34/491,442.34
  6. Step 6: Final answer
    x = 231,768.44

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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.