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Finding the Fourth Proportional to 299,430, 413,213.76 and 165,294

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Solution

The fourth proportional to 299,430, 413,213.76 and 165,294 is: 228,105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,430 : 413,213.76 = 165,294 : x
  2. Step 2: Convert to fraction form
    299,430/413,213.76 = 165,294/x
  3. Step 3: Cross multiply
    299,430x = 413,213.76 × 165,294
  4. Step 4: Simplify right side
    299,430x = 68,301,755,245.44
  5. Step 5: Solve for x
    x = 68,301,755,245.44/299,430
  6. Step 6: Final answer
    x = 228,105.92

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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.