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Finding the Fourth Proportional to 500,442, 690,614.82 and 299,238

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Solution

The fourth proportional to 500,442, 690,614.82 and 299,238 is: 412,951.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,442 : 690,614.82 = 299,238 : x
  2. Step 2: Convert to fraction form
    500,442/690,614.82 = 299,238/x
  3. Step 3: Cross multiply
    500,442x = 690,614.82 × 299,238
  4. Step 4: Simplify right side
    500,442x = 206,658,197,507.16
  5. Step 5: Solve for x
    x = 206,658,197,507.16/500,442
  6. Step 6: Final answer
    x = 412,951.35

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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.