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Finding the Fourth Proportional to 500,071.72, 690,098.58 and 273,717

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Solution

The fourth proportional to 500,071.72, 690,098.58 and 273,717 is: 377,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,071.72 : 690,098.58 = 273,717 : x
  2. Step 2: Convert to fraction form
    500,071.72/690,098.58 = 273,717/x
  3. Step 3: Cross multiply
    500,071.72x = 690,098.58 × 273,717
  4. Step 4: Simplify right side
    500,071.72x = 188,891,713,021.86
  5. Step 5: Solve for x
    x = 188,891,713,021.86/500,071.72
  6. Step 6: Final answer
    x = 377,729.24

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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.