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Finding the Fourth Proportional to 500,708.52, 690,977.74 and 299,504.52

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Solution

The fourth proportional to 500,708.52, 690,977.74 and 299,504.52 is: 413,316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,708.52 : 690,977.74 = 299,504.52 : x
  2. Step 2: Convert to fraction form
    500,708.52/690,977.74 = 299,504.52/x
  3. Step 3: Cross multiply
    500,708.52x = 690,977.74 × 299,504.52
  4. Step 4: Simplify right side
    500,708.52x = 206,950,956,349.39
  5. Step 5: Solve for x
    x = 206,950,956,349.39/500,708.52
  6. Step 6: Final answer
    x = 413,316.23

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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.