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Finding the Fourth Proportional to 500,294.24, 690,406.32 and 273,939.68

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Solution

The fourth proportional to 500,294.24, 690,406.32 and 273,939.68 is: 378,036.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,294.24 : 690,406.32 = 273,939.68 : x
  2. Step 2: Convert to fraction form
    500,294.24/690,406.32 = 273,939.68/x
  3. Step 3: Cross multiply
    500,294.24x = 690,406.32 × 273,939.68
  4. Step 4: Simplify right side
    500,294.24x = 189,129,686,370.78
  5. Step 5: Solve for x
    x = 189,129,686,370.78/500,294.24
  6. Step 6: Final answer
    x = 378,036.91

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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.