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Finding the Fourth Proportional to 500,071.50, 690,098.67 and 273,717

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Solution

The fourth proportional to 500,071.50, 690,098.67 and 273,717 is: 377,729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,071.50 : 690,098.67 = 273,717 : x
  2. Step 2: Convert to fraction form
    500,071.50/690,098.67 = 273,717/x
  3. Step 3: Cross multiply
    500,071.50x = 690,098.67 × 273,717
  4. Step 4: Simplify right side
    500,071.50x = 188,891,737,656.39
  5. Step 5: Solve for x
    x = 188,891,737,656.39/500,071.50
  6. Step 6: Final answer
    x = 377,729.46

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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.