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Finding the Fourth Proportional to 538,524.34, 807,023.79 and 298,743.03

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Solution

The fourth proportional to 538,524.34, 807,023.79 and 298,743.03 is: 447,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,524.34 : 807,023.79 = 298,743.03 : x
  2. Step 2: Convert to fraction form
    538,524.34/807,023.79 = 298,743.03/x
  3. Step 3: Cross multiply
    538,524.34x = 807,023.79 × 298,743.03
  4. Step 4: Simplify right side
    538,524.34x = 241,092,732,306.68
  5. Step 5: Solve for x
    x = 241,092,732,306.68/538,524.34
  6. Step 6: Final answer
    x = 447,691.43

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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.