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Finding the Fourth Proportional to 384,910.86, 577,201.10 and 132,216.78

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Solution

The fourth proportional to 384,910.86, 577,201.10 and 132,216.78 is: 198,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,910.86 : 577,201.10 = 132,216.78 : x
  2. Step 2: Convert to fraction form
    384,910.86/577,201.10 = 132,216.78/x
  3. Step 3: Cross multiply
    384,910.86x = 577,201.10 × 132,216.78
  4. Step 4: Simplify right side
    384,910.86x = 76,315,670,193.37
  5. Step 5: Solve for x
    x = 76,315,670,193.37/384,910.86
  6. Step 6: Final answer
    x = 198,268.43

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1.5x scale

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.