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Finding the Fourth Proportional to 500,365.42, 690,489.26 and 285,499.96

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Solution

The fourth proportional to 500,365.42, 690,489.26 and 285,499.96 is: 393,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,365.42 : 690,489.26 = 285,499.96 : x
  2. Step 2: Convert to fraction form
    500,365.42/690,489.26 = 285,499.96/x
  3. Step 3: Cross multiply
    500,365.42x = 690,489.26 × 285,499.96
  4. Step 4: Simplify right side
    500,365.42x = 197,134,654,027.33
  5. Step 5: Solve for x
    x = 197,134,654,027.33/500,365.42
  6. Step 6: Final answer
    x = 393,981.37

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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.