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Finding the Fourth Proportional to 500,296.86, 690,365.82 and 296,311.68

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Solution

The fourth proportional to 500,296.86, 690,365.82 and 296,311.68 is: 408,884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,296.86 : 690,365.82 = 296,311.68 : x
  2. Step 2: Convert to fraction form
    500,296.86/690,365.82 = 296,311.68/x
  3. Step 3: Cross multiply
    500,296.86x = 690,365.82 × 296,311.68
  4. Step 4: Simplify right side
    500,296.86x = 204,563,455,938.78
  5. Step 5: Solve for x
    x = 204,563,455,938.78/500,296.86
  6. Step 6: Final answer
    x = 408,884.15

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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.