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Finding the Fourth Proportional to 299,977, 413,976.90 and 165,849.64

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Solution

The fourth proportional to 299,977, 413,976.90 and 165,849.64 is: 228,877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,977 : 413,976.90 = 165,849.64 : x
  2. Step 2: Convert to fraction form
    299,977/413,976.90 = 165,849.64/x
  3. Step 3: Cross multiply
    299,977x = 413,976.90 × 165,849.64
  4. Step 4: Simplify right side
    299,977x = 68,657,919,833.32
  5. Step 5: Solve for x
    x = 68,657,919,833.32/299,977
  6. Step 6: Final answer
    x = 228,877.28

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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.