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Finding the Fourth Proportional to 299,522.88, 413,339.04 and 165,384

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Solution

The fourth proportional to 299,522.88, 413,339.04 and 165,384 is: 228,228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,522.88 : 413,339.04 = 165,384 : x
  2. Step 2: Convert to fraction form
    299,522.88/413,339.04 = 165,384/x
  3. Step 3: Cross multiply
    299,522.88x = 413,339.04 × 165,384
  4. Step 4: Simplify right side
    299,522.88x = 68,359,663,791.36
  5. Step 5: Solve for x
    x = 68,359,663,791.36/299,522.88
  6. Step 6: Final answer
    x = 228,228.52

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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.