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Finding the Fourth Proportional to 386,304, 533,101.44 and 225,270.72

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Solution

The fourth proportional to 386,304, 533,101.44 and 225,270.72 is: 310,874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,304 : 533,101.44 = 225,270.72 : x
  2. Step 2: Convert to fraction form
    386,304/533,101.44 = 225,270.72/x
  3. Step 3: Cross multiply
    386,304x = 533,101.44 × 225,270.72
  4. Step 4: Simplify right side
    386,304x = 120,092,145,221.84
  5. Step 5: Solve for x
    x = 120,092,145,221.84/386,304
  6. Step 6: Final answer
    x = 310,874.71

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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.