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Finding the Fourth Proportional to 500,706, 690,974.28 and 299,502

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Solution

The fourth proportional to 500,706, 690,974.28 and 299,502 is: 413,312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,706 : 690,974.28 = 299,502 : x
  2. Step 2: Convert to fraction form
    500,706/690,974.28 = 299,502/x
  3. Step 3: Cross multiply
    500,706x = 690,974.28 × 299,502
  4. Step 4: Simplify right side
    500,706x = 206,948,178,808.56
  5. Step 5: Solve for x
    x = 206,948,178,808.56/500,706
  6. Step 6: Final answer
    x = 413,312.76

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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.