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Finding the Fourth Proportional to 299,665, 413,537.70 and 165,529

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Solution

The fourth proportional to 299,665, 413,537.70 and 165,529 is: 228,430.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,665 : 413,537.70 = 165,529 : x
  2. Step 2: Convert to fraction form
    299,665/413,537.70 = 165,529/x
  3. Step 3: Cross multiply
    299,665x = 413,537.70 × 165,529
  4. Step 4: Simplify right side
    299,665x = 68,452,481,943.30
  5. Step 5: Solve for x
    x = 68,452,481,943.30/299,665
  6. Step 6: Final answer
    x = 228,430.02

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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.