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Finding the Fourth Proportional to 500,287.27, 690,389.58 and 273,932.77

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Solution

The fourth proportional to 500,287.27, 690,389.58 and 273,932.77 is: 378,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,287.27 : 690,389.58 = 273,932.77 : x
  2. Step 2: Convert to fraction form
    500,287.27/690,389.58 = 273,932.77/x
  3. Step 3: Cross multiply
    500,287.27x = 690,389.58 × 273,932.77
  4. Step 4: Simplify right side
    500,287.27x = 189,120,330,028.54
  5. Step 5: Solve for x
    x = 189,120,330,028.54/500,287.27
  6. Step 6: Final answer
    x = 378,023.47

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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.