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Finding the Fourth Proportional to 386,691.48, 533,698.37 and 225,546.53

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Solution

The fourth proportional to 386,691.48, 533,698.37 and 225,546.53 is: 311,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,691.48 : 533,698.37 = 225,546.53 : x
  2. Step 2: Convert to fraction form
    386,691.48/533,698.37 = 225,546.53/x
  3. Step 3: Cross multiply
    386,691.48x = 533,698.37 × 225,546.53
  4. Step 4: Simplify right side
    386,691.48x = 120,373,811,623.93
  5. Step 5: Solve for x
    x = 120,373,811,623.93/386,691.48
  6. Step 6: Final answer
    x = 311,291.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.