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Finding the Fourth Proportional to 383,906.10, 575,612.40 and 159,421.44

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Solution

The fourth proportional to 383,906.10, 575,612.40 and 159,421.44 is: 239,029.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,906.10 : 575,612.40 = 159,421.44 : x
  2. Step 2: Convert to fraction form
    383,906.10/575,612.40 = 159,421.44/x
  3. Step 3: Cross multiply
    383,906.10x = 575,612.40 × 159,421.44
  4. Step 4: Simplify right side
    383,906.10x = 91,764,957,689.86
  5. Step 5: Solve for x
    x = 91,764,957,689.86/383,906.10
  6. Step 6: Final answer
    x = 239,029.69

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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.